Math

QuestionFind the value of a10a_{10} in the sequence defined by an=5+(n1)14a_{n}=-5+(n-1) 14.

Studdy Solution

STEP 1

Assumptions1. The sequence is defined by the formula an=5+(n1)14a_{n}=-5+(n-1)14 . nn is a positive integer3. We need to find the value of a10a_{10}

STEP 2

The formula for the sequence is given as an=5+(n1)14a_{n}=-5+(n-1)14. To find the value of a10a_{10}, we need to substitute n=10n=10 into the formula.
a10=5+(101)14a_{10}=-5+(10-1)14

STEP 3

First, calculate the value inside the parentheses.
a10=5+(9)14a_{10}=-5+(9)14

STEP 4

Next, multiply the values inside the parentheses.
a10=+126a_{10}=-+126

STEP 5

Finally, add the two values together to find the value of a10a_{10}.
a10=121a_{10}=121So, the value of a10a_{10} is121.

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