How do you find the next four terms of the arithmetic sequence 1.3, 3.8, 6.3, ...?

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Answer 1 · 2017-01-10T12:59:06

#8.8,11.3,13.8,16.3#

The difference between the n-th term and the (n-1)-th is:

#6.3-3.8=3.8-1.3=2.5#

Then, you can get the next term by adding 2.5:

#a_1=1.3#
#a_2=3.8#
#a_3=6.3#

#color(red)(a_4=6.3+2.5=8.8)#

#color(red)(a_5=8.8+2.5=11.3)#

#color(red)(a_6=11.3+2.5=13.8)#

#color(red)(a_7=13.8+2.5=16.3)#