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Alex
3 years ago
10

the first three terms of an arithmetic progression is (x + 1), (4 x - 2) and 6 x - 3 if the last term is 18 find the value of x​

Mathematics
1 answer:
lbvjy [14]3 years ago
6 0

Answer:

2

Step-by-step explanation:

<u>Since it is AP, the common difference is same for any term:</u>

  • (4x - 2) - (x + 1) = (6x - 3) - (4x - 2)
  • 3x - 3 = 2x -1
  • 3x - 2x = 3 - 1
  • x= 2

<u>The first 3 terms are:</u>

  • 3, 6, 9

<u>Since the last term is 18, it means this AP has 6 terms:</u>

  • {3, 6, 9, 12, 15, 18}

<u>Answer: </u>as we need to find the value of x only, it is = 2

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