Question

The Generating function for sequence {a,} with a, = 2* is​

Answer 1

Answer:

★ Given :

A.P : 2, 4, 6, 8, 10 .............. 98

First tern (a) = 2

Common Difference (d) = 2

Last term (An or L) = 98

_________________________

★ To Find :

Sum of all even terms less than 100.

_________________________

★ Solution :

We know that,

\Large{\boxed{\boxed{\purple{\sf{A_{n} = a + (n - 1)d}}}}}

A

n

=a+(n−1)d

98 = 2 + (n - 1)2

98 = 2 + 2n - 2

98 = 2n

98/2 = n

49 = n