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9. Arithmetic Progressions
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Q7 of 202 Page 9

If x+1, 3x and 4x+2 are in A.P, find the value of x.

Given terms: x+1, 3x and 4x+2

 Since, the given terms are in A.P.

Therefore, their common difference will be same

3x – (x + 1) = (4x + 2) – 3x

3x – x - 1 = 4x + 2 – 3x

2x - 1 = x + 2

x = 3 

 

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5

The sum of three numbers in A.P. is 12 and the sum of their cube is 288. Find the numbers.

6

Find the value of x for which (8x+4), (6x-2), (2x+7) are in A.P.

8

Show that (a–b)2, (a2+b2) and (a + b)2 are in A.P.

1

Find the sum of the following arithmetic progressions:

(i)to 10 terms


(ii)to 12 terms


(iii)to 25 terms


(iv)to 12 terms


(v)to 22 terms


(vi)to n terms


(vii)to n terms


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Questions · 202
9. Arithmetic Progressions
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