Question

Find the sum of the n terms in the A.P.:√2,2√2,3√2​

Answer 1

Answer:

Given, First term (a) = √2

Common difference (d) = 2√2 - √2

= √2

Sum of first n terms,

(Sn) = n/2 [ 2a + ( n - 1 ) d ]

Sn = n/2 ( 2 * 1 + √2n - √2 )

Sn = n ( 2√2n + 4 - 2√2 )

Sn = 2√2n² + 4 - 2√2n