Question

17. a. Write an arithmetic sequence with common differences.
b. Multiply each term of this sequence by 2 and add 3
and form another sequence. Is this an arithmetic
sequence.




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Answer 1

Answer:

a. The common difference is the value between each successive number in an arithmetic sequence. Therefore, the formula to find the common difference of an arithmetic sequence is: d = a(n) - a(n - 1), where a(n) is the last term in the sequence, and a(n - 1) is the previous term in the sequence.

b. The sequence formed when every term of an arithmetic progression is multiplied by a fixed number is an arithmetic progression. The common difference of the resulting A.P. is multiplied by the same number as that of the previous A.P.

Step-by-step explanation:

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