alanakhan1914 alanakhan1914

21-04-2022
Mathematics

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Find the twenty-fourth term of the arithmetic sequence whose eighteenth term is 42, and whose twenty-fifth term is 56.

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Аноним Аноним

21-04-2022

Answer:

54

Step-by-step explanation:

Given

a₁₈ = 42
a₂₅ = 56

Solving

a₁₈ = a + 17d = 42 (1)
a₂₅ = a + 24d = 56 (2)
(2) - (1)
a + 24d - a - 17d = 56 - 42
7d = 14
d = 2
a = 56 - 24(2) = 56 - 48
a = 8

Finding a₂₄

a₂₄ = a + 23d
8 + 23(2)
8 + 46
54

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