Arithmetic Progression

Justify whether it is true to say that the following are the n^th terms of an AP. 1+n+n²

Arithmetic progression

Determine k so that k²+ 4k + 8, 2k² + 3k + 6, 3k² + 4k + 4 are three consecutive terms of an AP.

Arithmetic progression

Find a, b and c such that the following numbers are in AP: a, 7, b, 23, c.

Arithmetic progression

If the 9^th term of an AP is zero, prove that its 29th term is twice its 19th term.

Arithmetic progression

Find the 20^th term of an AP whose 7^th term is 24 less than the 11^th term, first term being 12.

arithmetic progression

The sum of the 5th and the 7th terms of an AP is 52 and the 10th term is 46. Find the AP.