The sum of the first n term of the arithmetic progression 5,11,17,23,29,35, –, –,–

The fifth term of AP is 24, and eleventh term is 96. Find the first term

Find the sum to infinity of the series $2+\tfrac{3}{2}+\tfrac{9}{8}+\tfrac{27}{32}+---$

The n^th term of the sequence $\tfrac{3}{2},3,7,16,35,74,-,-,-$ is

The sum of first n positive is

How many terms of the series 3 – 6  + 12 – 24  + - - -  are needed to make a total 1 – 2⁸

If the term of an AP is twice the third term and the sum of first terms is 42, find the common difference.

Find the sum of the first 20 terms of the terms 8, 12, 16,-----,96

Find the sum to infinity $\tfrac{1}{2},\tfrac{1}{6},\tfrac{1}{18}---$

The n^th term of two sequences are ${{Q}_{n}}=3\cdot {{2}^{n+2}}$ and ${{U}_{m}}=3\cdot {{2}^{2m-3}}$. Find the product of Q₂ and U₂