If sum of the 3rd and the 8th terms of an AP is 7 and the sum of the 7th and the 14th terms is –3, find the 10th term.
If the nth terms of the two APs: 9, 7, 5, … and 24, 21, 18,… are the same, find the value of n. Also find that term.
The angles of a triangle are in AP. The greatest angle is twice the least. Find all the angles of the triangle.
Split 207 into three parts such that these are in AP and the product of the two smaller parts is 4623.
Determine k so that k2+ 4k + 8, 2k2 + 3k + 6, 3k2 + 4k + 4 are three consecutive terms of an AP.
Find whether 55 is a term of the AP: 7, 10, 13,— or not. If yes, find which term it is.
If the 9th term of an AP is zero, prove that its 29th term is twice its 19th term.
Find the 20th term of the AP whose 7th term is 24 less than the 11th term, first term being 12.
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