Answer:
- 1/3
Step-by-step explanation:
Given:
The given arithmetic sequence is:

To find:
The recursive formula of the given arithmetic sequence.
Solution:
We have,

Here, the first term is -3. So,
.
The common difference is:



The recursive formula of an arithmetic sequence is:

Where, d is the common difference.
Putting
, we get

Therefore, the recursive formula of the given arithmetic sequence is
, where
.
Answer:
104
Step-by-step explanation:
tan(60) = opposite/adjacent
tan(60) = X/60
X = 60×tan(60)
X = 103.9230484541
X = 104 (3 sf)
Answer: 14 years
Step-by-step explanation:
Let the cat's age when it died = x.
Therefore, the child's age is 2 + x because he/she got the cat when he/she was 2 years old.
We can set up an equation.
x + (2+x) = 30
2x + 2 = 30
2x = 28
Therefore, x = 14