The fourth term of an Arithmetic progression (A.P) is 37 and the first term is −20. Find the common difference

If 6, P and 14 are consecutive terms in an Arithmetic Progression (A.P), find the value of P.

Find the n^th term of the sequence 2×3, 4×6, 8×9, 16×12

Find the 6^th term of the sequence: \[\frac{2}{3},\frac{7}{15},\frac{4}{15},\cdot \cdot \cdot \]

A sequence is given 2 ½ , 5, 7½….. if the nth term is 25. Find n

Find the 7^th term of the sequence 2, 5, 10, 17, 26, _, _, _

Find the  n^th tem of the sequence 5, 10 , 20, 40, 80,…

Find the next three terms of the sequence: 0, 1, 2, 3, 5, 8, ….

The nth term of the sequence  –2, 4, –8, 16,…. Is given by

The n^th term of a sequence is ${{T}_{n}}=5+{{(n-1)}^{2}}$. Evaluate ${{T}_{4}}-{{T}_{6}}$