Which of the following sequences are AP? In case of AP, find the first term
a and the common difference d and write the next three terms.
(i) 1²,2²,3²,4²,5²,...
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Step-by-step explanation:
Given sequence is not an AP
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Answer:
Second term - First term =−2−(3)=−5
Third term - Second term =−7−(−2)=−5
So, the given sequence is an A.P. with a common difference of −5.
Since each term of an A.P. is obtained by adding common difference to the preceding term.
∴a
5
=a
4
+(−5)=−12+(−5)=−17
a
6
=a
5
+(−5)=−17+(−5)=−22
and, a
7
=a
6
+(−5)=−22+(−5)=−27
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