How do you find the next three terms of the arithmetic sequence #19, 24, 29, 34,...#?

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Answer 1 · 2018-03-17T08:31:12

Next three terms are #color(brown)(39, 44, 49#

#a_1 = 19#

#a_2 - a_1 = d = 24 - 19 = 5#

#a_3 - a_2 = d = 29 - 24 = 5#

#a_4 - a-3 = d = 34 - 29 = 5#

Hence #a_1 = 19, d = 5#

#a_5 = a_4 + d = 34 + 5 = 39#

#a_6 = a_5 + d = 39 + 5 = 44#

#a_7 = a_6 + d = 44 + 5 = 49#

To find the #n(th)# term, #a_n = a_1 + (n-1) * d#