Find the number of terms of the arithmetic sequence with the given description that must be added to get a value of 3596. The first term is 5, and the common difference is 2.

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jvontaemyles14

17.01.2022

Mathematics

Sarah and her friends eat $1\frac{5}{12}$ berries

Step-by-step explanation:

Sarah and her friends picked pints of blueberries = $3\frac{3}{4} = \frac{15}{4}$

Let us suppose they ate x of the blueberries

Remaining berries = $\frac{15}{4}-x$

We are given that Remaining berries = $2\frac{1}{3}=\frac{7}{3}$

So, $\frac{15}{4}-x=\frac{7}{3}$

$\frac{15}{4}-\frac{7}{3}=x$

$\frac{17}{12}=x$

$1\frac{5}{12}=x$

Hence Sarah and her friends eat $1\frac{5}{12}$ berries

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