What is the sum of the arithmetic sequence 5, 11, 17 , if there are 24 terms?

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Answer 1 · 2015-06-29T08:17:44

# color(blue)(= 1776#

#5,11,17...#

The formula for the sum of an arithmetic sequence when #a_1 , d and n# are given is:

#color(blue)(Sum = (n/2)[2a + (n-1)d]#

Here :# a_1 = 5, d=6 and n=24#

# = (24/2)[2 . 5 + (24 - 1) . 6]#

# = 12 . [10+ 23 .( 6)]#

# = 12. [148]#
# color(blue)(= 1776#