Answered

Get expert advice and community support for all your questions on IDNLearn.com. Join our interactive Q&A platform to receive prompt and accurate responses from experienced professionals in various fields.

The next number in the arithmetic sequence [tex]70, 54, 38, \ldots[/tex] is:

A. 24
B. 20
C. 30
D. 22
E. 26

Sagot :

GinnyAnsweridn
To find the next number in the arithmetic sequence [tex]\( 70, 54, 38 \)[/tex], we need to follow these steps:

1. Identify the sequence: The given sequence is [tex]\( 70, 54, 38 \)[/tex].

2. Determine the common difference:
- Subtract the second term from the first term: [tex]\( 54 - 70 = -16 \)[/tex].
- Validate this by subtracting the third term from the second term: [tex]\( 38 - 54 = -16 \)[/tex].
- Hence, the common difference [tex]\( d \)[/tex] is [tex]\(-16\)[/tex].

3. Calculate the next term:
- The next term in the sequence can be found by adding the common difference to the last term in the sequence.
- The last term given is 38, so the next term will be: [tex]\( 38 + (-16) = 38 - 16 = 22 \)[/tex].

Thus, the next number in the arithmetic sequence is
[tex]\[ 22 \][/tex].

So the correct answer is [tex]\[ 22 \][/tex].
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thank you for trusting IDNLearn.com. We’re dedicated to providing accurate answers, so visit us again for more solutions.