Question

A.P=22,20,18_ _ _ _ ​

Answer 1

Answer:

Question

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Related Questions

The sum of how many terms of the A.P 22, 20, 18, … will be zero?

Answer

Complete step-by-step answer:

Given, the sequence 22, 20, 18, …

Here the first term a=22

and the common difference d=20−22=−2

The sum of an A.P is given by Sn=n2(2a+(n−1)d)

⇒0=n2(2×22)+(n−1)(−2))⇒n(46−2n)=0

Now n≠0

⇒n=462⇒n=23

Therefore, the sum of 23 terms of the A.P 22, 20, 18, … will be zero

Answer 2

Answer:

Complete step-by-step answer:

Given, the sequence 22, 20, 18, …

Here the first term a=22

and the common difference d=20−22=−2

The sum of an A.P is given by Sn=n2(2a+(n−1)d)

⇒0=n2(2×22)+(n−1)(−2))⇒n(46−2n)=0

Now n≠0

⇒n=462⇒n=23

Therefore, the sum of 23 terms of the A.P 22, 20, 18, … will be zero