Consider the sequence `1, -2, 3, -4, 5, -6, ........, n.(-1)^(n+1)` What is the average of the first 300 terms of the sequence?

What is the sum of the first n term of the arithmetic sequence 1,3,5,7......?

Consider the sequence a _(n+1) = (1)/( 1 - a _(n)) , nge 1 Given that a _(1) = (1)/(2) find sum of first 100 terms of this sequence

A sequence is defined as: t_(n+1)=t_(n)-t_(n-1) , where t_(n) denotes the n^(th) term of the sequence. If t_(1) =1 and t_(2)=5 , find the sum of the first 100 terms of the above sequence.

Determine the first five terms of the sequence defined by, u_(1) = 4 and u_(n) = 3u_(n-1) + 2 for n ge 2 . Also find the series of first five terms of the sequence.

Write the first three terms of the sequence a_n=(-1)^(n-1)5^(n+1) .

Write the first three terms of the sequence a_(n)=(-1)^(n-1) 5^(n+1)

Find the n^th term of the sequence 5,2,-1,-4,-7,…

Let the sequence be defined as follows : a_1=3 , a_n =3a_(n-1)+2 , for all n> 1. Find the first four terms of the sequence.