ARITHMETIC PROGRESSION-1

The 1st term of an A.P. is 73 and the common difference is 16. Find the 10th term.

Solution

A₁= 73, d = 20

A_n = A₁ + (n-1)d

A₁₀ = A₁ + (10-1)d

A₁₀ = A₁ + 9d

A₁₀ = 73 + (9x16) [ after substituting A₁= 73, d = 16 as given above]

∴ A₁₀ = 73 + 144

A₁₀ = 217

Hence the 10th term is 217.

TRY THIS……………

The 1st term of an A.P. is 76 and the common difference is 49. Find the 9th term.