The first two terms of an arithmetic sequence are $a_{1} = 2$ $a_1 = 2$ and $a_{2} = 4$ $a_2 = 4$ . What is $a_{10}$ $a_10$ , the tenth term?

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Answer 1 · 2018-03-17T07:27:43

$a_{10} = 20$ $color(indigo)(a_10 = 20$

$a_{1} = 2, a_{2} = 4$ $a_1 = 2, a_2 = 4$

Common Difference $d = a_{2} - a_{1} = 4 - 2 = 2$ $d = a_2 - a_1 = 4 - 2 = 2$

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

$a_{n} = a_{1} + (n - 1) \cdot d$ $a_n = a_1 + (n-1) * d$

Given $a_{1} = 2, n = 10$ $a_1 = 2, n = 10$ and we found $d = 2$ $d = 2$

$:. color(indigo)(a_10) = 2 + (10-1)*2 = 2 + 18 color(indigo)(= 20$

The first two terms of an arithmetic sequence are a_1 = 2a1=2a_1 = 2 and a_2 = 4a2=4a_2 = 4. What is a_10a10a_10, the tenth term?