Prove that the arithmetic sequence with first term `frac(1)(3)`and common difference`frac(1)(6)` contains all natural numbers.

Prove that the arithmetic sequence with first term 1/3 and common difference 1/6 contains all natural numbers.

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

Prove 'that the arithmetic sequence with first term 1/3 and common difference 2/3 contains all odd numbers, but no even number.

For the arithmetic sequence 6,12,18. What is the common difference?

Check whether the sequence given below is an arithmetic sequence. Give reasons. For the arithmetic sequences, write the common difference also. Sequence of reciprocals of natural numbers.

Write the arithmetic sequence with first term 8 and common difference 3 . b) Check whether 100 is a term of this sequence? c) Check whether the difference of any. two terms of this sequence will be 2017. d) Find the position of the term 125 in this sequence.

Check whether the sequence given below is an arithmetic sequence. Give reasons. For the arithmetic sequences, write the common difference also. Sequence of fractions got as half the odd numbers.

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.

Check whether each of the sequences given below is ah arithmetic sequence, give reaśons. For the arithmetic 'sequences, write the common difference also. i) Sequence of natural numbers ii) Sequence of multiples of three iii) Sequence of prime numbers, iv) Sequence of square numbers v) Sequence of powers of three

The sum of first n terms of an arithmetic sequence is n^2+2n Find the common difference.