How many terms of the sequence 54,51,48, ...be taken so that their sum is 513. Explain the double answer.

How many terms of the A.P,-6 , -11/2,-5 ,...are needed to give the sum -25?

How many terms of the arithmetic sequence 3,7,11, …….. must be added to get 300 ?

How many terms of the arithmetic sequence '5,7,9, ……..', must be added to get '140 ?'

How many terms of the GP 3,3/2,3/4 ,….are needed to give the sum 3069/512 ?

How many terms of the G.P. 3,3^2,3^3,… are needed to give the sum 120?

How many terms of GP 3,3^2,3^3, ..... are needed to give the sum 120?

How many terms of the arithmetic sequence '6,10,14, ……….' should be added to get 720?

How many terms of the arithmetic sequence '99,97,95, ……….' must be added to get 900 ?

23,30,37,.... is an arithmetic sequence a) Write the algebraic form of the sequence. b) Write the algebraic form of the sum of n terms of the sequence. c) Prove that the square of any term of this sequence will not be a term in this sequence. d) Prove that there will be so many, perfect squares in this sequence.

Consider the sequence 3,6,9,12,...,99 How many terms are there in the given sequence?