Question

question
find the 88th term of the arithmetic sequence 26, 28, 30, ...
answer attempt 1 out of 2
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Explanation:

Step1: Recall the formula for the nth term of an arithmetic sequence

The formula for the nth term of an arithmetic sequence is \( a_n=a_1+(n - 1)d \), where \( a_1 \) is the first term, \( n \) is the term number, and \( d \) is the common difference.

Step2: Identify \( a_1 \), \( d \), and \( n \)

For the given sequence \( 26,28,30,\dots \), the first term \( a_1 = 26 \). The common difference \( d=28 - 26=2 \). We want to find the 88th term, so \( n = 88 \).

Step3: Substitute the values into the formula

Substitute \( a_1 = 26 \), \( d = 2 \), and \( n = 88 \) into the formula \( a_n=a_1+(n - 1)d \).
We get \( a_{88}=26+(88 - 1)\times2 \).
First, calculate \( 88 - 1=87 \). Then, calculate \( 87\times2 = 174 \). Finally, calculate \( 26+174=200 \).

Answer:

\( 200 \)