Answer:
x=4/15
Step-by-step explanation:
first you need to make common denominators for 1/5 and 1/3
the common denominator is 15
5*3=15, 3*5=15. 1*3=3, 1*5=5
new equation:3x-3/15=x+5/15
now subtract x from both sides: 3x-3/15=x+5/15
-x -x
2x-3/15=5/15
now you can add 3/15 to 5/15
2x=8/15
now for the last step, divide by 2 because there are 2 x's
2x/2=x 8/15 /2=4/15
x=4/15
Answer:
an = 1/4(8)^n-1
Step-by-step explanation:
Given the following in a geometric sequence, a2=2, a3=16, and a4=128.
nth term of a sequence = ar^n-1
a is the first term
r is the common ratio
r = a3/a2 = a4/a3
r = 16/2 = 128/16
r = 8
a2 = ar
2 = 8a
a = 2/8
a = 1/4
The nth term by substituting the parameters will be;
an = 1/4(8)^n-1
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