Question

Find a49 of the sequence 70,63,56,49,…. A. -63 B. -266 C. -273 D. -243

Answer 1

(B) -266

Explanation:

The formula to find the nth term in a sequence is:

`x_(n) = a + d(n-1)`, where a is the first term and n is the "difference."

Looking at this equation, we can see that the number decreases by 7 each time and the first term is 70.

So:

`x_n = 70 + -7(n-1)`

Solve for the equation:

`x_n = 70 + -7n+7\\x_n = -7n+77`

Since we want to find the 49th term:

`x_9 = -7(49) + 77\\x_9 = -343+77\\x_9 = -266`

Hope this helped!