Question

Help please!! ASAP!! Thanks!!

Answer 1

Answer:

402

Step-by-step explanation:

The standard formula for the nth term of an arithmetic sequence is:

t + (n - 1)d

where t is the first term and d is the common difference. We can substitute to create a system of equations to solve for the first term and common difference:

22 = t + (5 - 1)d

62 = t + (15 - 1)d

22 = t + 4d

62 = t + 14d

We can use elimination to cancel out t:

62 = t + 14d

-( 22 = t + 4d )

40 = 10d

d = 4

Now, we can substitute the common difference to find the first term:

22 = t + 4*4

22 = t + 16

t = 6

Lastly, we can substitute values in the first equation to find the 100th term:

a100 = t + (n - 1)d

a100 = 6 + (100 - 1)(4)

a100 = 6 + (99)(4)

a100 = 6 + 396

a100 = 402

Answer 2

The answer is 402 since the equation is a5