Solve the problem.
-In an arithmetic sequence, find the first term if the 11 th term is 18 and the difference is $\sqrt { 2 }$.
A) $18 + 10 \sqrt { 2 }$
B) $18 - 10 \sqrt { 2 }$
C) $18 - 11 \sqrt { 2 }$
D) $18 + 11 \sqrt { 2 }$

Question

Quizplus · Accepted Answer

The formula for the nth term of an arithmetic sequence is $a_n = a_1 + (n-1)d$, where $a_n$ is the nth term, $a_1$ is the first term, $n$ is the term number, and $d$ is the common difference. Given $a_{11} = 18$ and $d = \sqrt{2}$, we can solve for $a_1$ as follows: $18 = a_1 + (11-1)\sqrt{2}$ or $18 = a_1 + 10\sqrt{2}$. Rearranging for $a_1$, we get $a_1 = 18 - 10\sqrt{2}$.

Solve the Problem 2\sqrt { 2 }2​ A) 18+10218 + 10 \sqrt { 2 }18+102​

Solve the Problem $\sqrt { 2 }$
A) $18 + 10 \sqrt { 2 }$