Answered

if a1 = -4, a25 = -100, what is the value of a100?

formula = d = an - ak
_____
n - k

find the specified nth term of each arithmetic sequence. show solution pls. thank uu

Sagot :

Sunshinesshana729viz

Answer:

Given :

a1 = -4

a25 = -100

Formula :

an = a1 + (n - 1) d

Solution :

an = a1 + (n - 1) d

a25 = a1 + (25 - 1) d

-100 = -4 + (25 - 1) d

-100 = -4 + (24) d

-100 + 4 = 24d

-96 = 24d

d = 4

a100 = a1 + (100 - 1) d

a100 = -4 + (100 - 1) 4

a100 = -4 + (99) 4

a100 = -4 + 396

a100 = 392

Final Answer :

a100 = 392