ARITHMETIC PROGRESSION H7

 

The 1st term of an A.P. is 80 and the common difference is 29. Find the 10th term.

 

Solution

 

A₁= 80, d = 29

 

A_n = A₁ + (n-1)d

 

A₁₀ = A₁ + (10-1)d

 

A₁₀ = A₁ + 9d

 

A₁₀ = 80 + (9x29) [ after substituting A₁= 80, d = 29 as given above]

 

∴ A₁₀ = 80 + 261

 

A₁₀ = 341

 

Hence the 10th term is 341.

 

  

TRY THIS……………

 

The 1st term of an A.P. is 55 and the common difference is 160. Find the 12th term.