Consider an arithmetic sequence with common difference 20. If the sum of reciprocals of two consecutive terms of this sequence is `1//24`find the first term of the arithmetic sequence .

All the terms of an arithmetic sequence with common difference 4 are positive numbers. The. product of two consecutive terms of this sequence is the same as their sum. i) If one term is 'x', what is the next term? ii) Calculate those terms.

n, 3n, 5n,... is an arithmetic sequence. a) What is the common difference? b) Prove that the sum of first 'n' terms of this sequence is n^(3) . c) Then find the sum of 15 terms of the sequence 15,45,75,…..

The first term of an arithmetic sequence is 2 and the common difference is 4 . a) Find the sum of the first ten terms of this sequence. b) Find the sum of ten terms from the second term to the eleventh term. .c) Is it possible that the sum of any consecutive ten terms of the sequence is 500 why?

Write the arithmetic sequence with first term 2 and common difference 3.

Consider the arithmetic sequence 13,23,33,... What is its common difference?

The second term of an arithmetic sequence is 8 and the common difference is 3. Write the sequence?

The second term of an arithmetic sequence is 8 and the common difference is 3. What is the 12^(th) term of the sequence?

Consider an arithmetic sequence with first term 18 and common difference 3. i) Write the terms of this sequence. ii) Write the perfect square terms of this sequence. Check whether it is an arithmetic sequence.

10^(th) term of an arithmetic sequence is 82 , If its common difference is 8 , find the position of the term 250 in the sequence.

Consider the arithmetic sequence 6,11 ,16,21,….. a) Find the common difference. b) Write the algebraic form of the sequence.