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4 years ago

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Which rule can you use to find the nTH term of an arithmetic sequence in which the common difference is 5 and a12 = 63?

1 answer:

snow_tiger [21]4 years ago

5 0

Arithmetic, nth = a + (n - 1)d, common difference, d = 5

a₁₂ = a + (12 -1)d = 63

<span>a + 11d = 63
</span>
a + 11*5 = 63

a = 63 - 11*5

a = 63 - 55

a = 8

So the nth term = a + (n - 1)d = 8<span> + (n - 1)5

8 + 5*(n - 1)

8 + 5n - 5

8 - 5 + 5n

3 + 5n

So nth term = 3 + 5n</span>

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