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Which term of the AP :18,23,28,33,...is 98?

User Penchant
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1 Answer

4 votes

Answer:

17 term

Explanation:

the nth term of an arithmetic progression is


a_(n) = a₁ + d(n - 1)

a₁ is the first term, d the common difference, n the term number

here a₁ = 18 and d = a₂ - a₁ = 23 - 18 = 5

substitute these values into the nth term formula


a_(n) = 18 + 5(n - 1) = 18 + 5n - 5 = 5n + 13

equate 5n + 13 to 98 and solve for n

5n + 13 = 98 ( subtract 13 from both sides )

5n = 85 ( divide both sides by 5 )

n = 17

98 is the 17th term

User Jhujhul
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8.0k points

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