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Find $a_3$ . $a_1=5$ $a_n=a_{n-1}+5$ Write your answer as an integer or fraction in simplest form. $a_3=$

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Solve one-step addition and subtraction equations with decimals and fractions

Full solution

Q. Find

a_3

.

a_1=5

a_n=a_{n-1}+5

Write your answer as an integer or fraction in simplest form.

a_3=

Given values: We are given the first term of the sequence, $a_1$ , which is $5$ . We are also given a recursive formula for the sequence: $a_n = a_{n–1} + 5$ . This means that each term is $5$ more than the previous term. To find $a_3$ , we need to find $a_2$ first and then use it to find $a_3$ .
Find $a_2$ : Using the recursive formula, let's find $a_2$ . Since $a_1$ is $5$ , we have: $\newline$ $a_2 = a_1 + 5$ $\newline$ $a_2 = 5 + 5$ $\newline$ $a_2 = 10$ $\newline$ Now we have the value of $a_2$ .
Find $a_3$ : Next, we use the value of $a_2$ to find $a_3$ using the same recursive formula: $\newline$ $a_3 = a_2 + 5$ $\newline$ $a_3 = 10 + 5$ $\newline$ $a_3 = 15$ $\newline$ Now we have the value of $a_3$ .

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