How do you find the explicit formula for the arithmetic sequence, then find #a_14# given #a_1=-4, d=17#?

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Answer 1 · 2018-03-17T09:26:09

#color(purple)(a_14 = a_1 + (14-1) * 17 = 217#

#a_1 = -4, d = 17#

#a_2 = a_1 + d = a_1 + (2-1) * d = -4 + 17 = 13#

#a_3 = a_2 + d = a_1 + (3-1) * d = -4 + 34 = 30#

#a_4 = a_3 + d = a_1 + (4-1) * d = -4 + 51 = 47#

#color(red)(a_n = a_(n-1) + d = a_1 + (n-1) * d #

#color(purple)(a_14 = a_1 + (14-1) * 17 = 217#