Sequence and Series

Question 29

The n^th term of a sequence is given by ${{2}^{2n-1}}$ . Find the sum of the first four terms.

If the 9^th term of an AP is fives times the 5^th term, find the relationship between a and d

A man saves N100.00 in his first year, saves N20.00 more than in the preceding year. In how many years will he save N5,800.00

Find the common difference respectively of an A. P whose 4^th term is 24 and the 11^th term is 52.

Find the sum to infinity of the series$\tfrac{1}{4},\tfrac{1}{12},\tfrac{1}{36},\cdot \cdot \cdot $

The n^th term of the sequence 3, 9, 27, 81 …… is

If the 2^nd term of a G.P is $\tfrac{8}{9}$ and the 6^th term is$4\tfrac{1}{2}$. Find the common ratio

Find the sum of the first 11 terms of an A.P. with first term 2 and the common difference 3

Find the sum of the first 10 terms of the A.P, 3+10+17+….

What is the common ratio of the G.P $(\sqrt{10}+\sqrt{5})+(10+2\sqrt{5})+\cdot \cdot \cdot $ ?