Use the formula for the general term the nth term of a geome

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the following sequence with the given first term, a_1, and common ratio, r. Find a_7 when a_1 = 6 and r = 3. A_7 = (Type an integer or a decimal.)

Solution

formula for nth term : an = a1(r)^n-1

r = 3 ; a1 = 6

a7 = a1(3)^(7-1) = 6(3)^6 = 4374