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39 votes
39 votes
Given the arithmetic sequence : 52, a, b, 67 . Find the value of a * b

User Jmac
by
2.8k points

1 Answer

17 votes
17 votes

Answer:

a=57 b=62

Explanation:

u⁰=52

u¹=a

u²=b

u³=67

Use the explicit relation given by:

u(n)=u⁰+nd

where n is any term and d is the common difference.

u³=u⁰+3d

67=52+3d

3d=67-52

d=15/3

d=5

a=52+5=57

b=a+5=62

67=b+52=62+5=67 (just to make sure of the answer)

User Carlo Cannas
by
3.3k points
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