Question

The 7th term of an as is -4and 13th term is -16find it's as

Answer 1

Hey friend,

Here is your answer,
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Let the first term be a , common difference be d and number of terms be n .

Tn = a+(n-1)d

T₇ = a+6d
=> -4 = a+6d                                    -----------------(i)

T₁₃ = a+12d
=> -16 = a+12d                                 ----------------(ii)

(ii) - (i)

6d = -16 - (-4)

=> 6d = -12

=> d = -2


Put d = -2 in (i)

-4 = a+6d

=> -4 = a -12

=> a = 8


The AP is 8,6,4,2,-2,-4,-6.........
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