Answer:
672.
Step-by-step explanation:
First find the prime factors:
112 = 2*2*2*2*7
96 = 2*2*2*2*2*3
There are 4 pairs of duplicate 2 's in the factors, so the LCM = 2*2*2*2*2*3*7
= 672 (answer).
Note: the duplicates only appear once in the calculation of the LCM.
3 the answer is 3 because if you move 7 units over you get 3
Answer:
67
Step-by-step explanation:
From the question given above, the following data were obtained:
Number of terms (n) = 12
Last term (L) = 100
Common difference (d) = 3
First term (a) =?
We can obtain the first term of the arithmetic sequence as follow:
L = a + (n – 1)d
100 = a + (12 – 1)3
100 = a + (11)3
100 = a + 33
Collect like terms
100 – 33 = a
a = 67
Therefore, the first term of the arithmetic sequence is 67
Answer:-5
Step-by-step explanation:
g(1)=2*1-3=2-3=-1
f(g(1))=5*-1=-5
