98.7k views
5 votes
Find the 74th term of the following arithmetic sequence. 17, 26, 35, 44

User Opstalj
by
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2 Answers

5 votes


\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}

Here we have,

  • n = 74

  • a = 17

  • d = 26 - 17 = 9


\mapsto\tt{t_n = a + (n - 1) * d} \\ \\ \mapsto\tt{t_n = 17 + (74 - 1) * 9} \\ \\ \mapsto\tt{t_n = 17 + 73 * 9} \\ \\ \mapsto\tt{t_n = 17 + 657} \\ \\ \mapsto\tt{t_n = 674}

User Dave Griffith
by
8.6k points
2 votes

Answer:

t74 = 674

Explanation:

Givens

n = 74

a = 17

d = 26 - 17 = 9

Formula

tn = a + (n - 1)* d

Solution

tn = 17 + 73 * 9

tn = 17 + 657

tn = 674

Remark: This is an application of the arithmetic formula for the "last" term.

You pretty much have to know to to juggle the parts as this one was done.

User Gerges Eid
by
7.7k points

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