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Find the 14th term of the geometric sequence 10,40,160

User TJChambers
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Final answer:

The 14th term of the geometric sequence 10, 40, 160 is 671,088,640.

Step-by-step explanation:

To find the 14th term of a geometric sequence, you need to use the formula:

an = a1 * r(n-1)

In this case, the first term (a1) is 10 and the common ratio (r) is 4. So, substituting the values into the formula, we get:

a14 = 10 * 4(14-1)

Simplifying the exponent, we have:

a14 = 10 * 413

Calculating the value, we find that the 14th term of the sequence is 10 * 67,108,864 = 671,088,640.

User Neverov
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