engausidarb
2022-09-12
Answered

The first two terms of an arithmetic sequence are ${a}_{1}=2$ and ${a}_{2}=4$, and what is $a}_{10$, the tenth term

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Vicente Macias

Answered 2022-09-13
Author has **15** answers

${a}_{1}=2,{a}_{2}=4$

Common Difference $d={a}_{2}-{a}_{1}=4-2=2$

nth term of an Arithmetic Sequence is given by the formula,

${a}_{n}={a}_{1}+(n-1)\cdot d$

Given ${a}_{1}=2,n=10$ and we found d=2

$\therefore \textcolor[rgb]{}{{a}_{10}}=2+(10-1)\cdot 2=2+18\textcolor[rgb]{}{=20}$

Common Difference $d={a}_{2}-{a}_{1}=4-2=2$

nth term of an Arithmetic Sequence is given by the formula,

${a}_{n}={a}_{1}+(n-1)\cdot d$

Given ${a}_{1}=2,n=10$ and we found d=2

$\therefore \textcolor[rgb]{}{{a}_{10}}=2+(10-1)\cdot 2=2+18\textcolor[rgb]{}{=20}$

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