Given the following terms of a geometric sequence: a1=7, a11=7340032 ; Determine r and a8
1 answer:
Answer:
r = 4
a8 = 114,688
Step-by-step explanation:
a1=7
a11 = 7340032
a11 = a1*r^10
7340032 = 7 * r^10
7340032 = 7r^10
r^10 = 7340032/7
r^10 = 1,048,576
Find the 10th root of both sides
10√r^10 = 10√1,048,576
r = 4
a8 = a1 * r^7
= 7 * 4^7
= 7 * 16,384
= 114,688
a8 = 114,688
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