Download App

Arithmetic Progressions Maths - Arithmetic Progressions

Jharkhand Board (JAC) - STD 10 - Maths (Jharkhand - English Medium). 406 questions in this chapter.

Question types

Arithmetic Progressions question types

406 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

406
Questions
5
Question groups
5
Question types
Sample Questions

Arithmetic Progressions questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
Mark the correct alternative in the following: If the sum of three consecutive terms of an increasing $A.P$. is $51$ and the product of the first and third of these terms is $273,$ then the third term is:
  • A
    $13$
  • B
    $9$
  • ✓
    $21$
  • D
    $17$

Answer: C.

View full solution →
Q 2M.C.Q (1 Marks)1 Mark
Mark the correct alternative in the following:
If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times, the least, then the numbers are:
  • ✓
    5, 10, 15, 20
  • B
    4, 101, 16, 22
  • C
    3, 7, 11, 15
  • D
    None of these.

Answer: A.

View full solution →
Q 3M.C.Q (1 Marks)1 Mark
Mark the correct alternative in the following:
The common difference of the A.P. is $\frac{1}{2\text{q}},\frac{1-2\text{q}}{2\text{q}},\frac{1-4\text{q}}{2\text{q}}, .....$ is
  • ✓
    -1
  • B
    1
  • C
    q
  • D
    2q

Answer: A.

View full solution →
Q 4M.C.Q (1 Marks)1 Mark
Mark the correct alternative in the following:
The next term of the A.P. $\sqrt{7},\sqrt{28},\sqrt{63},\ .....$
  • A
    $\sqrt{70}$
  • B
    $\sqrt{84}$
  • C
    $\sqrt{97}$
  • ✓
    $\sqrt{112}$

Answer: D.

View full solution →
Q 5M.C.Q (1 Marks)1 Mark
Mark the correct alternative in the following:
The common difference of the A.P. $\frac{1}{3},\frac{1-3\text{b}}{3},\frac{1-6\text{b}}{3}, ....$ is
  • A
    $\frac{1}{3}$
  • B
    $-\frac{1}{3}$
  • ✓
    $-\text{b}$
  • D
    $\text{b}$

Answer: C.

View full solution →
Q 62 Marks Questions2 Marks
Which of the following sequences are arithmetic progressions. For those which are arithmetic progressions, find out the common difference.
$3, 3, 3, 3, .....$
View full solution →
Q 92 Marks Questions2 Marks
The sum of first n terms of an A.P. whose first term is 8 and the common difference is 20 is equal to the sum of first 2n terms of another A.P. whose first term is -30 and common difference is 8. Find n.
View full solution →
Q 113 Marks Question3 Marks
The general term of a sequence is give by $a_n=-4 n+15$. Is the sequence an A.P.? If so, find its $15^{\text {th }}$ term and the common difference.
View full solution →
Q 175 Marks Questions5 Marks
The $24^{\text {th }}$ term of an A.P. is twice its $10^{\text {th }}$ term. Show that its $72^{\text {nd }}$ term is 4 times its $15^{\text {th }}$ term.
View full solution →
Q 195 Marks Questions5 Marks
The $26^{th}, 11^{th}$​​​​​​​ and last term of an A.P. are 0, 3 and $-\frac{1}{5},$ respectively. Find the common difference and the number of terms.
View full solution →
Q 205 Marks Questions5 Marks
Find the sum of the following arithmetic progressions:$\frac{\text{x}-\text{y}}{\text{x}+\text{y}}\frac{3\text{x}-2\text{y}}{\text{x}+\text{y}}\frac{5\text{x}-3\text{y}}{\text{x}+\text{y}}, .....\text{ to n terms.}$
View full solution →
Q 21Case study (4 Marks)4 Marks
Manpreet Kaur is the national record holder for women in the shot-put discipline. Her throw of 18.86 m at the Asian Grand Prix in 2017 is the biggest distance for an Indian female athlete. Keeping her as a role model, Sanjitha is determined to carn gold in Olympics one day. Initially her throw reached 7.56 m only. Being an athlete in school, she regularly practiced both in the mornings and in the evenings and was able to improve the distance by 9 cm every week. During the special camp for 15 days, she started with 40 throws and every day kept increasing the number of throws by 12 to achieve this remarkable progress.
Image
(i) How many throws Sanjitha practiced on $11^{\text {th }}$ day of the camp?
(ii) What would be Sanjitha's throw distance at the end of 6 months?
(iii) When will she be able to achieve a throw of 11.16 m ?
(iv) How many throws did she do during the entire camp of 15 days?
View full solution →
Q 22Case study (4 Marks)4 Marks
The marathon is a long-distance foot race with a distance of 42.195 km , usually run as a road race, but the distance can be covered on trail routes. The marathon can be completed by running or with a run/walk strategy. The marathon was one of the original modern Olympic events in 1896.
Image
Neha, a student of class X, wishes to participate in a marathon. She decided to begin her practice by gradually increasinging her running distance. In the first weck, she decided to run 3 km each day and increase the distance by 2 km cach weck, i.c. in the second week she would run 5 km each day, in the third week she would run 7 km each day and so on.
(i) What distance will Neha cover cach day of the $8^{\text {th }}$ week of her practice?
(ii) In which week would she be able to run for 45 km cach day?
(iii) (a) What is the total distance covered by Ncha affer 11 weeks, if she practised for 5 days in each week?
OR
(b) Had she increased the distance by 3 km each weck instead of 2 km each weck, in how many weeks would she have trained herself to run for 42 km per day?
View full solution →
Q 23Case study (4 Marks)4 Marks
Treasure Hunt is an exciting and adventurous game where participants follow a series of clues/numbers/maps to discover hidden treasures, Players engage in a thrilling quest, solving puzzles and riddles to unveil the location of the coveted prize.
While playing a treasure hunt game, some clues (numbers) are hidden in various spots collectively forming A.P. If the number of the $n^{\text {th }}$ spot is $20+4 n$, then answer the following questions to help the players is spotting the clues:
Image
(i) Which number is on first spot?
(ii) (a) Which spot is numbered as 112 ?
OR
(b) What is the sum of all the numbers on the first 10 spots?
(iii) Which number is on the $(n-2)^{\text {th }}$ spot?
View full solution →
Q 24Case study (4 Marks)4 Marks
Do you know old clothes which are thrown as waste not only fill the landfill site but also produce very harmful greenhouse gas. So, it is very important that we reuse old clothes in whatever way we can. The picture given below on the right, shows a footmat (rug) made out
of old $t$-shirts yarn. Observing the picture, you will notice that a number of stitches in circulat rows are making a pattern : $6,12,18,24, \ldots$
Image
Based on the above information, answer the following questions:
(i) Check whether the given pattern forms an AP. If yes, find the common difference and the next term of the AP.
(ii) Write the $n^{\text {th }}$ term of the AP. Hence, find the number of stitches in the $10^{\text {th }}$ circular row.
View full solution →
Q 25Case study (4 Marks)4 Marks
Rishi wants to buy a car and plans to take loan from a bank to buy the car. He pays his total loan of ₹ $1,180,000$ by paying every month starting with the first instalment of ₹ $10,000$. If he increases the instalment by ₹ $1000$ every month answer the following:
Image
(i) The amount paid by Rishi in $30^{\text {th }}$ instalment, is
(a) ₹ 39,000 $\qquad$ (b) ₹ 35,000 $\qquad$ (c) ₹ 37,000 $\qquad$ (d) ₹ 36,000
(ii) The amount paid by Rishi in 30 instalments, is
(a) ₹ 370,000 $\qquad$ (b) ₹ 735,000 $\qquad$ (c) ₹ 753,000 $\qquad$ (d) ₹750,000
(iii) After paying $30^{\text {th }}$ instalment the amount still to be paid is
(a) ₹ 455,000 $\qquad$ (b) ₹ 490,000
(c) ₹ 445,000 $\qquad$ (d) ₹ 540,000
(iv) If the loan is to be repaid in 40 instalments, then amount paid in the last instalment is
(a) ₹ 49,000 $\qquad$ (b) ₹ 39,000
(c) ₹ 59,000 $\qquad$ (d) ₹ 94,000
View full solution →
Browse all question groups ↑

Generate a Arithmetic Progressions paper free

Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.

Download App
Generate Paper FreeAll Maths chapters