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Drupady [299]
3 years ago
15

What value of m will m+9, 2m-1, and 2m+7 are the consecutive terms of an arithmetic progression?

Mathematics
1 answer:
Molodets [167]3 years ago
7 0

9514 1404 393

Answer:

  m = 18

Step-by-step explanation:

In an arithmetic progression, the middle term of three is half the sum of the terms on either side.

  a1 +a3 = 2(a2)

  (m +9) +(2m +7) = 2(2m -1)

  3m +16 = 4m -2 . . . . . . collect terms

  18 = m . . . . . . . . . . . . . . add 2-3m

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