Question

50 POINTS, HELP

Answer 1

Answer:

a(n) = -351+8(n-1)

Step-by-step explanation:

This is an arithmetic sequence.  Each new term is equal to the sum of the previous term and 8.

The expression you want is   a(n) = -351+8(n-1)

Answer 2

Answer:

Option D. $f_{n}$ = 8n - 359

Step-by-step explanation:

The given sequence is -351, -343, -335, -327, -319......

As we can see there is a common difference of 8 in each successive term.

T₂ - T₁ = -343 - (-351 ) = 351 - 343 = 8

T₃ - T₂ = -335 - ( 343 ) = 343 - 335 = 8

Therefore, the given sequence is an arithmetic sequence.

Now the explicit formula of an arithmetic sequence is represented by

$f_{n}= a+(n-1) d$

a = first term of the sequence

n = number of terms

d = common difference

$f_{n}= -351+(n-1) 8$

$f_{n}$ = -351 + 8n - 8

$f_{n}$ = 8n - 359

Therefore, option D. $f_{n}$ = 8n - 359 is the answer.