If 8, p, q and 26 is an A.P. Find the values of p and q

a

p = 14 and q = 14

b

p = 20 and q = 14

c

p = 20 and q = 20

d

p = 14 and q = 20

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Explanation

Correct Option
d

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Discussions (9)

Zubylove
2 years ago

1st term=a(8)
2nd term=a+d(common difference)
3rd term=a+2d
4th term=a+3d

Firstly, let's find the common difference (d) which is unknown.

since the 4th term is given, we're going to use it to equate and find the common difference.

26=8+3d
18=3d
6=d

Then, to find p and q (2nd and 3rd term respectively)

2nd=a+d
2nd=8+6
2nd=14

and,

3rd=a+2d
3rd=8+2Γ—6
3rd=20

therefore, p=14 and q=20

Looking at the options
One can pick the answer from there without wasting time

Brovic02
1 year ago

Their is no explanation

Akashyt9
1 year ago

hw is d common difference 6

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