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THE FIRST AND THE LAST TERMS OF AN A. P ARE AND 171 IN THAT ORDER IF THERE ARE 14 TERMS FIND THE 16 TERM OF THE A.PAsked by BUSAYO
the first and the last terms of an A.P are 6 and 171 in that order if there are 14 terms find the 16th term of the A.P
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Answered by
Bosnian
a1 = 6
a14 = a1 + 13 d = 171
6 + 13 d = 171
Subtract 6 to both sides
13 d = 165
d = 165 / 13
a16 = a14 + 2 d
a16 = 171 + 2 ∙ 165 / 13 = 171 + 330 / 13 =
2223 / 13 + 330 / 13 = 2553 / 13
a14 = a1 + 13 d = 171
6 + 13 d = 171
Subtract 6 to both sides
13 d = 165
d = 165 / 13
a16 = a14 + 2 d
a16 = 171 + 2 ∙ 165 / 13 = 171 + 330 / 13 =
2223 / 13 + 330 / 13 = 2553 / 13