Write the next two terms in the following sequence $1,5,14,30,......$.

Given:

The given sequence is $1,5,14,30,.......$

To do:

We have to write the next two terms in the given sequence.

Solution:

The given series is as follows:

$1^2=1$

$1^2+2^2=1+4=5$

$1^2+2^2+3^2=1+4+9=14$

$1^2+2^2+3^2+4^2=1+4+9+16=30$

Therefore, the next two terms are:

$1^2+2^2+3^2+4^2+5^2=1+4+9+16+25=55$

$1^2+2^2+3^2+4^2+5^2+6^2=1+4+9+16+25+36=91$

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Updated on: 10-Oct-2022

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