Find the value of y so that y + 3, 4y + 1, 8y - 3 is an arithmetic progression.
A. 2
B. 3
C. 4
D. 5
E. 6

A

Step-by-step explanation:

The common difference d in an arithmetic sequence is

a₂ - a₁ = a₃ - a₂ , substitute values

4y + 1 - (y + 3) = 8y - 3 - (4y + 1) ← distribute both sides and simplify

4y + 1 - y - 3 = 8y - 3 - 4y - 1

3y - 2 = 4y - 4 ( subtract 3y from both sides )

- 2 = y - 4 ( add 4 to both sides )

2 = y → A

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

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