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The first term of an arithmetic progression is 18 and the 18th is 60. Determine the common difference of the A.P

The first term of an arithmetic progression is 18 and the 18th is 60. Determine the common difference of the A.P
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11 votes
The first term of an arithmetic progression is 18 and the 18th is 60. Determine the common difference of the A.P

asked
User Danidiaz
by
7.7k points

1 Answer

9 votes

Answer:

42/17

Explanation:

First term, a = 18

T18 = 60

Common difference, d = ?


T_(18) = 18 + (18 - 1)d \\ 60 = 18 + 17d \\ 17d = 42 \\ d = (42)/(17)

answered
User Jonathan Arbogast
by
8.8k points
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