Q2 of 202 Page 10

Write the common difference of an A.P. whose nth term is a_n = 3n + 7.

If a_n = 3n + 7

Then a₁ = 3 (1) + 7 = 10

a₂ = 3(2) + 7 = 13

a₃ = 3(3) + 7 = 16

d= common difference = a_n – a _n–1

= a₃ – a₂

= 16 – 13 = 3

The sum of first 9 terms of an A.P. is 162. The ratio of its 6^th term to its 13^th term is 1:2. Find the first and 15^th term of the A.P.

Define an arithmetic progression.

Which tem of the sequence 114, 109, 104, .... is the first negative term?

Write the value of a₃₀ – a₁₀ for the A.P. 4, 9, 14, 19, ……….

Write the common difference of an A.P. whose nth term is an = 3n + 7.