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How do you find the 19th term in the sequence #-14, -7, 0, 7, 14,..# ?

1 Answer

sankarankalyanam

Mar 17, 2018

#color(green)(a_19 = 112#

Explanation:

#a_1 = -14, a_2 = -7, a_3 = 0, a_4 = 7, a_5 = 14#

#a_2 - a_1 = a_3 - a_2 = a_4 - a_3 = a_5 - a_4 = d = 7#

Now we know, #a_1 = -14, d = 7#

#nth# term #a_n = a_1 + (n-1) * d#

#:. a_19 = a_1 + (19-1) * d = -14 + 18 * 7 = -14 + 91 = 112#

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