Find the 7th term in the geometric sequence. 0.02, 0.2, 2, 20, ...
1 answer:
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Answer:
see explanation
Step-by-step explanation:
The nth term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₅ is double a₇ , then
a₁ + 4d = 2(a₁ + 6d) , that is
a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )
4d = a₁ + 12d ( subtract 12d from both sides )
- 8d = a₁
The sum of n terms of an AP is
=
[ 2a₁ + (n - 1)d ] , substitute values
=
( 2(- 8d) + 16d)
= 8.5(- 16d + 16d)
= 8.5 × 0
= 0
Answer: See the figure attached.
Step-by-step explanation:
1. To solve this exercise and locate the numbers shown in the problem on the number line, you can convert them from fractions to decimal numbers by dividing the numerator by the denominator. Therefore, you obtain:
10/3=3.33
17/3=5.66
2. Now, you can draw a number line (like the one shown in the figure attached) and locate the numbers as you can see in the image.
