bewellplus.gsu.edu
michelle2 michelle2
  • 06-03-2015
  • Mathematics
Answered

write the first six terms of an arithmetic sequence that has 12 for the first term and 42 for the sixth term

Verified Answer :

olemakpadu
olemakpadu olemakpadu
  • 06-03-2015

This is an arithmetic progression.

Tn  =  a + (n -1) d.   

a = First term
n = number of terms
d = common difference.

First term, a = 12.
Sixth term, T6  =  a + (6 -1)d =  a + 5d = 42
a + 5d = 42
12 + 5d = 42
5d = 42 - 12
5d = 30
d  = 30/5
d = 6.

Writing the first six terms, we keep adding six.
12, 18, 24, 30, 36, 42.
Cheers.

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