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a_sh-v [17]
3 years ago
11

50 POINTS! The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?

Mathematics
2 answers:
marshall27 [118]3 years ago
8 0

Answer:

  • -13

Step-by-step explanation:

<u>The fifth term:</u>

  • a_5=a+4d = 11

<u>The 10th term:</u>

  • a_{10}=a+9d=41

<u>Subtract side-by-side and find d:</u>

  • 9d - 4d = 41 - 11
  • 5d = 30
  • d = 6

<u>Find the first term:</u>

  • a = 11 - 4*6
  • a = 11 - 24
  • a = - 13
Oxana [17]3 years ago
4 0

<em><u>The common difference d is </u></em>

  • (41–11) / (10–5) = 6.

<em><u>The first term is</u></em>

  • 11 - 6(5–1) = -13.

<em>so , the first term is -13 </em>

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