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Write the next term of each of the following sequences : 1, 5,

Question

Write the next term of each of the following sequences :
$1, 5, 14, 30, 55, .....$

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Write the next term of each of the following sequences :

1, 5, 14, 30, 55, .....

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Text solutionVerified

The series is as follows:-

1^{2} = 1

(1st term)

1^{2} + 2^{2} = 5

(2nd term)

1^{2} + 2^{2} + 3^{2} = 14

1^{2} + 2^{2} + 3^{2} + 4^{2} = 30

1^{2} + 2^{2} + 3^{2} + 4^{2} + 5^{2} = 55

1^{2} + 2^{2} + 3^{2} + 4^{2} + 5^{2} + 6^{2} = 91

......so on.

Hence, the next term in the series is 91.

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Question Text	Write the next term of each of the following sequences : $1, 5, 14, 30, 55, .....$
Answer Type	Text solution:1
Upvotes	150