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3 years ago

18, 26, 34, 42, find the 52nd term and the explicit formula

1 answer:

3 0

We have 26 - 18 = 8; 34 - 26 = 8; 42 - 34 = 8; (an arithmetic progression)
We use the formula an = a1 + (n-1)x8 (the explicit formula)
So, an = 18 + (n-1)x8 ;
Then, an = 8n + 10;
Finally, a52 = 8x52 + 10 = 426 (the 52nd term);

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3 years ago

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2 years ago

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erastova [34]

Answer : A

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Now we factor the denominator

$x^2+x-20$ =(x+5)(x-4)

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Now we simplify it

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Now cancel out same factors. so we left with

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