Answer: The next two terms are 1690 and 1630 in that order
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Step-by-step explanation:
This is an arithmetic sequence. We are adding -60 to each term to get the next term. Put another way, we are subtracting 60 from each term to get the next.
term 1 = 2050
term 2 = (term1) + (-60) = (term1) - 60 = 2050 - 60 = 1990
term 3 = (term2) + (-60) = (term2) - 60 = 1990 - 60 = 1930
term 4 = (term3) + (-60) = (term3) - 60 = 1930 - 60 = 1870
and so on
Keeping this pattern up, we get these next two terms
1750 - 60 = 1690
1690 - 60 = 1630
which are the two answers
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If you want to use a formula, then a1 = 2050 is the first term and d = -60 is the common difference. We get this nth term formula
a(n) = a1 + d(n-1)
a(n) = 2050 + (-60)(n-1)
a(n) = 2050 - 60n + 60
a(n) = -60n + 2110
Then note that six terms of the sequence are given to us. This means we want to find the 7th term, so we plug in n = 7 to get
a(n) = -60n + 2110
a(7) = -60(7) + 2110
a(7) = -420 + 2110
a(7) = 1690
The 7th term is 1690
Repeat for n = 8
a(n) = -60n + 2110
a(8) = -60(8) + 2110
a(8) = -480 + 2110
a(8) = 1630
The 8th term is 1630