# mAtH

posted by .

The 23rd term in a certain geometric sequence is 16 and the 28th term in the sequence is 24. What is the 43rd term?

It is not 48.

• mAtH -

a+22d = 16
a+27d = 24

a = -96/5
d = 8/5

-96/5 + 42*8/5 = -96/5 + 336/5 = 240/5 = 48

If 48 is marked wrong, the key is in error. You could have checked it yourself.

• mAtH -

This is what you did wrong, i think. YOu multiply not add.

• mAtH -

Or, look at it this way. From T23 to T28 is 5 terms, and the value grew by 8.
From T28 to T43 is 15 terms = 3*5, so the value will grow by 3*8, or 24.

24+24 = 48

## Similar Questions

1. ### Math

3,5,-5... The first term in the sequence of #'s shown above is 3. Each even # term is 2 more than the previous term and each odd # term, after the first, is -1 times the previous term. For example, the second term is 3+2, and the third …
2. ### Math

A sequence is formed by adding together the corresponding terms of a geometric sequence and and an arithmetic sequence.The common ratio of the geometric sequence is 2 and the common difference of the arithmetic sequence is 2.The first …
3. ### MaTh

The 23rd term in a certain geometric sequence is 16 and the 28th term in the sequence is 24. What is the 43rd term?
4. ### MaTh

The 23rd term in a certain geometric sequence is 16 and the 28th term in the sequence is 24. What is the 43rd term?
5. ### MaTh

A certain 300-term geometric sequence has first term 1337 and common ratio -1/2. How many terms of this sequence are greater than 1?
6. ### Math

1. What is the tenth term of the geometric sequence whose first term (a1) is 16 and the common ratio (r) is –½?
7. ### Sj

Mathematics......Under number patterns-Geometric series If a question goes.determine the expression for the nth term of the following sequence if the a) 4th term is 24 and the 7th term is 192 in a geometric sequence.what formula do …
8. ### Algebra

I am so lost on these problems. Write a geometric sequence that starts with 3 and has a common ratio of 5. What is the 23rd term in the sequence. Write an arithmetic sequence that has a common difference of 4 and the eighth term is …
9. ### math

still need help: Write an arithmetic sequence that has a common difference of 4 and the eighth term is 13. What is the first term?
10. ### Math

If the 16th term of an arithmetic sequence is three times the fourth term, find the ratio of the 23rd term to the third term.

More Similar Questions