An arithmetic sequence is shown below. You are not given many terms of this sequence, but you do have enough to fill in the miss
ing number. What number goes in the blank? 14, ,56,....
A.37
B.35
C.21
D.29
1 answer:
Answer:
B.35
Step-by-step explanation:
The sequence is
14, ,56,....
14 , x , 56
Think of it as 14 + d = x
x+ d = 56
d is the common difference
We now have 2 equations and 2 unknowns
Substitute the first equation in for x into the second equation
x+d =56
(14+d) +d = 56
Combine like terms
14 + 2d = 56
Subtract 14 from each side
14-14 + 2d = 56-14
2d = 42
Divide by 2
2d/2 =42/2
d = 21
The common difference is 21
Now we can find x
14 + d = x
14+ 21 = x
35 =x
The unknown term is 35
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-24
-66+42
=-24 since it is negative
It’s unsolvable with out more context. What’s the rest of the problem.
M= 276 31+276=307.
307-31=276 that’s how I found M
-1/00 should be the answer