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

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

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

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

Is 101 a term of the arithmetic sequence 3, 7,11, ...? What about 103?

Prove that the squares of all the terms of the arithmetic sequerice 4,7,10,….. belong to the sequence.

Using all terms of the arithmetic sequence 7,11,15,19,…. 1)write three different arithmetic sequence without any common term. 2) Write the commion difference of these sequences.

Consider the arithmetic sequence -46,-42,-38,….., How many terms added from first to get the sum zero?

a) What is the remainder on dividing the terms of the arithmetic sequence 100,107,114,.. by 7? b) Write the sequence of all three digit numbers. Which leaves remainder 3 on division by 7? Which is the last term of this sequence?

Consider an arithmetic sequence with common difference 6 and 7^(th) term 52. Find the 15^(th) term of the arithmetic sequence. Is it possible to get a difference of 100 between any two terms of this sequence?