pls help asap?
1. Find the missing terms in the sequence 10, ____, _____, _____ , - 14
2. What is the common difference?
回答 (5)
1.
Part 2 is asking for common difference. It can be deduced that it is a arithmetic sequence.
First term, T(1) = a = 10
Common difference = d
T(5):
10 + 4d = -14
4d = -24
d = -6
T(2) = 10 - 6 = 4
T(3) = 4 - 6 = -2
T(4) = -2 - 6 = -8
The three missing terms are 4, -2 and -8
====
2.
Common difference = -6
1.) 10,10-d,10-2d,10-3d,10-4d. 10 -4d = -14, d = (1/4)(10+14) = 6. Missing
terms are 4,-2,-8. 2.) Common difference is d = 6.
10, 4, -2, -8, -14
The common difference is -6.
10, 4, -2, -8, -14
a_n = -2 (3 n - 8) The common difference or slope is -6.
I will assume that we have an arithmetic series with 1st term 10, 5th term -14 and common difference d
nth term is 10 + (n - 1)d
so, 5th term is 10 + 4d = -14
Hence, 4d = -24
=> d = -6
so, terms are: 10, 4, -2, -8, -14,....
:)>
收錄日期: 2021-04-18 18:32:30
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