An=a1r^(n-1)
given
a5=1/24
a10=1/768
we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)
so
1/24=a1r^4
1/768=a1r^9
(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32
r^5=1/32
take 5th root of both sides
r=1/2
we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3
the first term is 2/3
Answer:
x ≈ 5.89
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra II</u>
- Exponential to Logarithmic:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
0.77 = log(x)
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Equality Property] Raise both sides to the 10th power:

- Simplify:

- Evaluate:

Answer:
24
Step-by-step explanation:
3d
= 3 × 8
= 24
Hope it helps you:)
The answer is x=7 and y=3
Answer:
a. 10, 16
b. 211, 311
c. 10 , 12.5
d. -13, -22
Step-by-step explanation:
In an arithmetic sequence, there is a constant difference, which is the difference between a term and the previous term. We find the constant different for each sequence, and we add it to the second term to find the third term. Then we add the constant difference to the third term to find the fourth term.
a.
4 - (-2) = 6
3rd term: 4 + 6 = 10
4th term: 10 + 6 = 16
b.
111 - 11 = 100
3rd term: 111 + 100 = 211
4th term: 211 + 100 = 311
c.
7.5 - 5 = 2.5
3rd term: 7.5 + 2.5 = 10
4th term: 10 + 2.5 = 12.5
d.
-4 - 5 = -9
3rd term: -4 + (-9) = -13
4th term: -13 + (-9) = -22