a 13 = 254 and a 33 = 654 Find a 27

Question

a
13 = 254 and a
33 = 654
Find a
27

in progress 0
Mít Mít 3 years 2021-08-29T20:21:01+00:00 1 Answers 0 views 0

Answers ( )

  1. thanhha
    0
    2021-08-29T20:23:00+00:00
    Reply

    Answer:

    The value of a₂₇ is 294

    Step-by-step explanation:

    a₁₃ = 254

    a₃₃ = 654

    Now,

    a₁₃ = 254 can be written as

    a + 12d = 254 …(1) and

    a₃₃ = 654 can be written as

    a + 32d = 654 …(2)

    Now, from equation (2) we get,

    a + 32d = 654

    a + 12d + 20d = 654

    254 + 20d = 654 (.°. a + 12d = 254)

    20d = 654 – 254

    20d = 400

    d = 400 ÷ 20

    d = 20

    Now, for the value of a put the value of d = 20 in equation (1)

    a + 12d = 254

    a + 12(20) = 254

    a + 240 = 254

    a = 254 – 240

    a = 14

    Now, For a₂₇

    a₂₇ = a + 26d

    a₂₇ = 14 + 9(20)

    a₂₇ = 14 + 180

    a₂₇ = 294

    Thus, The value of a₂₇ is 294

    -TheUnknownScientist

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