Aleshka25idn
Answered

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Pls Helppp ASAP I will give brainliest to best answer!! 100 points if you help!!!
An arithmetic sequence has 8 terms total 1st number is -22 and 8th (last) number is 5 there are 6 missing terms in between, what are they? Please help me!! I need this!!

Pls Helppp ASAP I Will Give Brainliest To Best Answer 100 Points If You Help An Arithmetic Sequence Has 8 Terms Total 1st Number Is 22 And 8th Last Number Is 5 class=

Sagot :

Mhanifaidn

Answer:

  • - 127/7 or - 18 1/7
  • - 100/7 or - 14 2/7
  • -73/7 or -10 3/7
  • -46/7 or - 6 4/7
  • -19/7 or - 2 5/7
  • 8/7 or 1 1/7

Step-by-step explanation:

Given

  • AP with the first term of -22 and eighth term of 5

To find

  • the missing terms

Solution

AP formula:

  • aₙ = a₁+(n-1)d

Using the given points we find the common difference:

a₁ = -22 and a₈ = 5

  • a₈ = a₁ + 7d
  • 5 = -22 + 7d
  • 7d = 5 + 22
  • 7d = 27
  • d = 27/7

Now the missing terms:

  • a₂ = -22 + 27/7 = - 127/7 or - 18 1/7
  • a₃ = -22 + 2(27/7) = - 100/7 or - 14 2/7
  • a₄ = -22 + 3(27/7) = -73/7 or -10 3/7
  • a₅ = -22 + 4(27/7) = -46/7 or - 6 4/7
  • a₆ = -22 + 5(27/7) = -19/7 or - 2 5/7
  • a₇ = -22 + 6(27/7) = 8/7 or 1 1/7
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