Download App

Arithmetic Progressions — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSArithmetic Progressions2 Marks
Question
Show thet the followiong sequences is an A.P. Also, find the common difference and write 3 more terms in each case.
$9,\ 7,\ 5,\ 3,\ ...$
✓

Answer

$9,7,5,3,...$
$​​\text{a}_4-​​\text{a}_3=​​\text{a}_3-​​\text{a}_2-​​\text{a}_1=-2$
$\therefore$ The comman difference is -2
and the given sequence is A.P
$​​\text{a}_5=9+(-2)(5-1)=1$
$​​\text{a}_6=9+(-2)(6-1)=-1$
$​​\text{a}_7=9+(-2)(7-1)=-3$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Arithmetic Progressions→Arithmetic Progressions — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow2}\frac{\text{x}^4-16}{{\text{x}}-2}$
→
Line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Find the value of x.
→
A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box, what is the probability that all will be blue?
→
In a $\triangle\text{ABC},$ Prove that:
$\cos(\text{A+B})= \cos (\pi-\text{C})=0$
→
Two unbiased dice are thrown. find the probability that:
  1. Neither a doublet nor a total of 8 will appear
  2. The sum of the numbers obtained on the two dice neither a multiple of 2 nor a multiple of 3.
→
Let N be the set of natural numbers. Define a real valued function f : $N \rightarrow N$ by f (x) = 2x + 1. Using this definition, complete the table given below
x 1 2 3 4 5 6 7
y f (1) = ... f (2) = ... f (3) = ... f (4) = ... f (5) = ... f (6) = ... f (7) = ...
→
Two unbisased dice are thrown, find the probability that the total of the numbers on the dice is greater than 10.
→
For what values of a and b the intercepts cut off on the coordinate axes by the line ax + by + 8 = 0 are equal in length but opposite in signs to those cut off by the line 2x - 3y + 6 = 0 on the axes.
→
Solve – 8 $\le$ 5x – 3 < 7.
→
Evaluate the following:
$\text{i}^{528}$
→