Find the indicated term using the given information.
-$$a _ { 10 } = 35 , a _ { 18 } = 75 ; a _ { 1 }$$
A) 5
B) 0
C) $- 5$
D) $- 10$

Name: Find the indicated term using the given information. -\[a _ { 10 } = 35 , a _ { 18 } = 75 ; a _ { 1 }\] A) 5 B) 0 C) $- 5$ D) $- 10$
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Quizplus · Accepted Answer

The sequence is arithmetic. The common difference $d$ can be found using $a_{18} = a_{10} + 8d$. Solving $75 = 35 + 8d$ gives $d = 5$. Using $a_{10} = a_1 + 9d$, we solve $35 = a_1 + 45$ to find $a_1 = -10$.

Find the Indicated Term Using the Given Information a10=35,a18=75;a1a _ { 10 } = 35 , a _ { 18 } = 75 ; a _ { 1 }a10​=35,a18​=75;a1​

Find the Indicated Term Using the Given Information $a _ { 10 } = 35 , a _ { 18 } = 75 ; a _ { 1 }$