Question

the fourth term is an arithmetic sequence is -20, and the eighth term is-10. What is the hundredth term in the sequence.please say answer for this​

Answer 1

Step-by-step explanation:

A4= -20

A8= -10

A4=a+3d

A8=a+7d

a+3d= -20

a+7d= -10

-4d=-10

d= 10/4

d= 10/4= 5/2

so a+3×5/2=-20

a+15/2=-20

a=-20-15/2

a= -55/2

A100= a+99d

= -55/2+99×5/2

= -55/2+495/2

= 440/2

= 220

A100= 220

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