Question

the sum of the first 16 terms of the ap 10,6,2,..... is ​

Answer 1

$\huge\rm{ Question:- }$

The sum of the first 16 terms of the ap 10,6,2,..... is ?

Formula:-

an = a + (n - 1) d

$\huge\rm{ Solution:- }$

A.p:- 10,6,2,...

n = no. of therms = 16

a = first term = 10

d = common difference = a2-a1 = 6-10 = (-4)

Therefore,

16th term = a + (n - 1) d

=> 10 + (16 - 1) (-4)

=> 10 + (15)(-4)

=> 10 + (-60)

=> (-50)

Therefore,

$\boxed{ 16th \: term = (-50) }$

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Writer :- Sayandeep Ghosh