Question

Find the 64th term of the arithmetic sequence 29, 38, 47, ...

Answer 1

Answer:

         a₆₄ = 596

Step-by-step explanation:

The equation of the nth term of the arithmetic sequence is: $a_n =a_1+d(n-1)$

d = 38 - 29 = 9

a₁ = 29

Therefore:

                 $a_{64} =29+9(64-1)\\\\a_{64} =29+9\cdot63\\\\a_{64}=596$