SOLUTION: Find the 100th term of a certain arithmetic sequence, given that the 7th term is 16 and the 61st term is 232.

Question 46737: Find the 100th term of a certain arithmetic sequence, given that the 7th term is 16 and the 61st term is 232.
Answer by adamchapman(301) (Show Source): You can put this solution on YOUR website!
You can find the value of the nth term in an arithmetic sequence using the formula
Where is the nth term,
a = the value of the first term,
d = the difference between two consecutive terms.
Let's look at the 7th term:
.............1
Mow the 61st term:
...........2
Solve equations (1) and (2) to find a and d.
Multiply equation (1) by 10:
.............3
subtract (2) from (3):

................4
Now plug a=-8 into equation 1:

Now we know a and d, we can use the formaula to find the 100th term.

I hope this helps,
Adam
P.S. please visit my website, it may be helpful to you. The address is www.geocities.com/quibowibbler

RELATED QUESTIONS
The first term of an arithmetic sequence is 9689 and the 100th term is 8996. a) Find... (answered by MathLover1,ikleyn)

The 4th term of an arithmetic sequence is 28 and the 7th term is 43. Find the 79th... (answered by stanbon)

Find the first term and the common difference of the arithmetic sequence whose 7th term (answered by ikleyn)

Find the 100th term of this arithmetic sequence. 5,8,11,14,17 (answered by Edwin McCravy)

The 3rd term of an arithmetic sequence is 12 and its 7th term is 32, what is its 11th... (answered by Boreal)

The 12th term of an arithmetic sequence is 35. The 7th term is four times the 2nd term.... (answered by richwmiller)

The fifth term of an arithmetic sequence is 41 and the twelfth term is 20. Determine the... (answered by josgarithmetic)

The 5th term of an arithmetic sequence is 10 an 7th term is 18. What is the 8th... (answered by reviewermath)

If the 100th term of an arithmetic sequence is 213, and its common difference is 2, then (answered by MathLover1,greenestamps)