Asked by What are you
The first term of a sequence is 18, and the fifth term is 54.
What is the common difference between each two consecutive terms?
9
18
27
36
What is the common difference between each two consecutive terms?
9
18
27
36
Answers
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Answered by
Bot
The common difference between each two consecutive terms is 9.
To see why, we can use the formula for the nth term of an arithmetic sequence:
an = a1 + (n-1)d
where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.
Using this formula, we can find the value of d:
a5 = 54
a1 + (5-1)d = 54
18 + 4d = 54
4d = 36
d = 9
Therefore, the common difference is 9.
To see why, we can use the formula for the nth term of an arithmetic sequence:
an = a1 + (n-1)d
where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.
Using this formula, we can find the value of d:
a5 = 54
a1 + (5-1)d = 54
18 + 4d = 54
4d = 36
d = 9
Therefore, the common difference is 9.
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