Find the indicated term for the arithmetic sequence.
-$\mathrm{a}_{11}=24, \mathrm{a}_{16}=34 ; \mathrm{a}_{1}$
A) 4
B) 2
C) 6
D) 8

Name: Find the indicated term for the arithmetic sequence. -$\mathrm{a}_{11}=24, \mathrm{a}_{16}=34 ; \mathrm{a}_{1}$ A) 4 B) 2 C) 6 D) 8
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Quizplus · Accepted Answer

The common difference $d$ can be found using $a_{16} = a_{11} + 5d$. Substituting the given values, $34 = 24 + 5d$, we find $d = 2$. Using $a_{11} = a_1 + 10d$, we substitute $24 = a_1 + 10(2)$, solving for $a_1$ gives $a_1 = 4$.

Find the Indicated Term for the Arithmetic Sequence a11=24,a16=34;a1\mathrm{a}_{11}=24, \mathrm{a}_{16}=34 ; \mathrm{a}_{1}a11​=24,a16​=34;a1​

Find the Indicated Term for the Arithmetic Sequence $\mathrm{a}_{11}=24, \mathrm{a}_{16}=34 ; \mathrm{a}_{1}$