Question

Th Write an explicit formula for ans then term of the sequence 40,50,60, ....

Answer 1

Answer:   $a_n = 10n+30$

n starts at 1, and n is a positive whole number (1,2,3,...)

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Explanation:

The sequence is arithmetic with first term 40 and common difference 10. Meaning we add 10 to each term to get the next one.

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a1 = 40 = first term

d = 10 = common difference

$a_n = a_1 + d(n-1)\\\\a_n = 40 + 10(n-1)\\\\a_n = 40 + 10n-10\\\\a_n = 10n + 30$

is the general nth term of this arithmetic sequence

Plug in n = 1 and you should get $a_1 = 40$

Plug in n = 2 and you should get $a_2 = 50$

and so on