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Lostsunrise [7]
3 years ago
9

An arithmetic sequence has the terms a6=53 a 6 = 53 and a8=61 a 8 = 61 . Questions: What is the value of d d ? AnswerIncorrect W

hat is the value
Mathematics
2 answers:
Strike441 [17]3 years ago
4 0

Answer:

The value of d is 4.

Step-by-step explanation:

It is given that the 6th term of an AP is a_6=53 and 8th term is a_8=61.

The nth term of an AP is

a_n=a+(n-1)d

6th term of an AP is a_6=53.

a_6=a+(6-1)d

53=a+5d              .... (1)

8th term is a_8=61.

a_8=a+(8-1)d

61=a+7d            .... (2)

Subtract equation (1) from equation (2).

61-53=a+7d-(a+5d)

61-53=a+7d-a-5d

8=2d

Divide both sides by 2.

4=d

Therefore the value of d is 4.

leonid [27]3 years ago
3 0

The given terms are two terms apart, so their difference is twice the difference of adjacent terms.

a_8-a_6=2d=61-53=8\\\\d=\dfrac{8}{2}=4

The value of d is 4.

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