If an A.P. is 1,7,13, 19, ……… Find the sum of 22 terms.
- A127
- B1204
- ✓1408
- D1604
Answer: C.
View full solution →Question types
SEQUENCES AND SERIES question types
288 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
288
Questions
5
Question groups
5
Question types
01
MCQ
154 Q→02(Each question 1 marks)
41 Q→03(Each question 2 marks)
13 Q→04(Each question 3 marks)
75 Q→05(Each question 4 marks)
5 Q→Sample Questions
SEQUENCES AND SERIES questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
If the decreasing GP is considered, then the sum of infinite terms is:
- A64
- ✓128
- C256
- D729
Answer: B.
View full solution →if an A.P. is 3,5,7,9……. Find the 12th term of the A.P.
- A12
- B21
- C22
- ✓25
Answer: D.
View full solution →If in an infinite G.P., first term is equal to 10 times the sum of all successive terms, the its common ratio is:
- A$\frac{1}{10}$
- ✓$\frac{1}{11}$
- C$\frac{1}{9}$
- D$\frac{1}{20}$
Answer: B.
View full solution →If $a, b, c$ are in A.P. and $x, y, z$ are in G.P., then the value of $x^{b-c} y^{c-a} z^{a-b}$ is:
- A0
- ✓1
- C$x y z$
- D$x^a y^b z^c$
Answer: B.
View full solution →Find the sum to n terms in each of the series in whose $n^{th}$ terms is given by $n^2 + 2^n$.
View full solution →Find the sum to n terms of the series $\frac { 1 } { 1 \times 2 } + \frac { 1 } { 2 \times 3 } + \frac { 1 } { 3 \times 4 } + \ldots$
View full solution →Find the indicated terms of the sequence, whose nth term is $a _ { n } = ( - 1 ) ^ { n - 1 } n ^ { 3 }; a_9$
View full solution →Find the indicated terms of the sequence, whose nth term is $a _ { n } = \frac { n ^ { 2 } } { 2 ^ { n } }; a_7$
View full solution →Find the indicated terms of the sequence, whose $n$th term is $a_n=4 n-3 ; a_{17}, a_{24}$.
View full solution →A manufacturer reckons that the value of a machine, which cost him ₹ 15625 will depreciate each year by 20%. Find the estimated value at the end of 5 years.
Find the sum to n terms in each of the series $3 \times 8 + 6 \times 11 + 9 \times 14 + \ldots \ldots$
View full solution →Find the sum to $n$ terms in each of the series $5^2+6^2+7^2+\ldots \ldots+20^2$
View full solution →Find the sum to n terms of the series $3 \times 1 ^ { 2 } + 5 \times 2 ^ { 2 } + 7 \times 3 ^ { 2 } + \ldots$
View full solution →For what values of x, the numbers $ \frac { - 2 } { 7 } , x , \frac { - 7 } { 2 }$ are in G.P.?
View full solution →The first term of a G.P. is 1. The sum of the third term and fifth term is 90. Find the common ratio of G.P.
The sum of some terms of G.P. is 315 whose first term and the common ratio are 5 and 2 respectively. Find the last term and the number of terms.
If f is a function satisfying f (x+y) = f (x) f (y) for all x, y $ \in $ N such that f (1) = 3 and $\sum\limits_{x = 1}^n f (x) = 120$ find the value of n.
View full solution →Find the sum of all two digit numbers which when divided by 4, yield 1 as remainder.
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
Show that $\frac { 1 \times 2 ^ { 2 } + 2 \times 3 ^ { 2 } + \ldots \ldots + n \times ( n + 1 ) ^ { 2 } } { 1 ^ { 2 } \times 2 + 2 ^ { 2 } \times 3 + \ldots \ldots + n ^ { 2 } ( n + 1 ) } = \frac { 3 n + 5 } { 3 n + 1 }$
View full solution →Find the sum of the following series up to n terms: $\frac { 1 ^ { 3 } } { 1 } + \frac { 1 ^ { 3 } + 2 ^ { 3 } } { 1 + 3 } + \frac { 1 ^ { 3 } + 2 ^ { 3 } + 3 ^ { 3 } } { 1 + 3 + 5 } + \ldots \ldots$
View full solution →If $S_1, S_2, S_3$ are the sum of first n natural no. their squares and their cubes respectively, show that $9 S _ { 2 } ^ { 2 } = S _ { 3 } \left( 1 + 8 S _ { 1 } \right)$.
View full solution →If a, b, c are in A.P.; b, c, d are in G.P. and $\frac { 1 } { c } , \frac { 1 } { d } , \frac { 1 } { e }$ are in A.P., prove that a, c, e are in G.P.
View full solution →The ratio of the A.M. and G.M. of two positive numbers a and b is 
Show that $a : b = \left( \begin{array} { c } { m + \sqrt { m ^ { 2 } - n ^ { 2 } } } \end{array} \right) : \left( m - \sqrt { m ^ { 2 } - n ^ { 2 } } \right)$
View full solution → Show that $a : b = \left( \begin{array} { c } { m + \sqrt { m ^ { 2 } - n ^ { 2 } } } \end{array} \right) : \left( m - \sqrt { m ^ { 2 } - n ^ { 2 } } \right)$Generate a SEQUENCES AND SERIES paper free
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