Mathematics
Samantha121
15

the 13th term of this geometric sequence is 16,384 and the first term is 4. what is the common ratio

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(1) Answers
Kip

a geometric sequence is a sequence with a common ratio multiplied by previous term to give the next. Lets call x the common ratio, so we know that 4 was multiplied by x to give the second term, and so forth until it was multiplied again and again by x until the 16384 was reached which happens to be the 13th term, that means that 4x was multiplied by x 12 more times to give 16384, that is: 4x^12 = 16384 x^12 = 4096 x = 4096^-12 x = 4.48 x 10^-44 that is the common ratio

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