If-a-b-13-c-d-25-are-six-consecutive-terms-of-an-AP-find-tbe-value-of-a-b-c-and-d-

Question Number 107353 by Yusufa last updated on 10/Aug/20

I f a b 13 c d 25 are six consecutive terms of an A P . f i n d t b e v a l u e o f a b c a n d d .

Answered by john santu last updated on 10/Aug/20

⋇ JS ⋇

\Rightarrow 13 - 2 λ, 13 - λ, 13, 13 + λ, 13 + 2 λ, 13 + 3 λ

so 13 + 3 λ = 25 \Rightarrow λ = 4

now you get the value of a, b, c, d

Answered by nimnim last updated on 10/Aug/20

L e t x b e t h e c o m m o n d i f f e r e n c e

∴ a + 2 x = 13 \dots \dots . . (1)

a n d a + 5 x = 25 \dots \dots . . (2)

(1) - (2) \to - 3 x = - 12

\Rightarrow x = 4

f r o m (1), a + 2 (4) = 13

\Rightarrow a = 5

A P : 5, 9, 13, 17, 21, 25

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