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3 years ago

9

In the sequence 1, 2, 4, 8, 16, 32, . . . , each term after the first is twice the previous term. What is the sum of the 16th, 1

7th, and 18th terms in the sequence?

1 answer:

Leno4ka [110]3 years ago

6 0

Answer:

229376

Step-by-step explanation:

Term n is given by 2ⁿ⁻¹, so the answer is

2¹⁵ + 2¹⁶ + 2¹⁷ = 229376

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Step-by-step explanation:

Let $x$ be the miles in the circular park path, $t_{L}$ the time Louisa takes to finish and $t_{C}$ the time Calvin takes to finish both in hours.

Then $x$ , the longitude is equal to the velocity times the time used to finish. So

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And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

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Equalizing the equation with x :

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In this last equation replace $t_{C}$ with the other equation and solve:

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With Louisa's time find x:

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