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Oksi-84 [34.3K]
2 years ago
9

Given a term in a geometric sequence and the common ratio, find the explicit formula, a11=5120 ans r=-2

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
5 0

Answer:

U_n=5(-2)^{n-1}

Step-by-step explanation:

Given a geometric sequence, the nth term of the geometric sequence is obtained by using the formula:

U_n=ar^{n-1}

If the eleventh term, a_{11}=5120

and the common ratio, r=-2.

Then:

5120=a(-2)^{11-1}\\a=\frac{5120}{2^{10}} =5

The explicit formula for the sequence is:

U_n=5(-2)^{n-1}

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Step-by-step explanation:

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3 years ago
Simplify the expression 11x − (2x2 + 8x).
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