Answer:
-4x - 20x
Step-by-step explanation:
Multiply 2 by -10
Answer: f(n+1) = 3 f(n)
Step-by-step explanation:
- A recursive formula is used to determine each term of a sequence using preceding term or terms.
Given sequence : 2.5, 7.5, 22.5, 67.5, 202.5,...
Here,
Common ratio = 3
Let f(n) be a term in this sequence then the next term will be f(n+1) = 3 f(n), where n is a natural number .
Required recursive formula : f(n+1) = 3 f(n)
Step 1. Convert 3 1/3 to improper fraction.
- 3 * 3 + 1/3 ÷ 9
Step 2. Simplify 3 * 3 to 9
-9 + 1/3 ÷ 9
Step 3. Simplify 9 + 1 to 10
-10/3 ÷ 9
Step 4. Use this rule: a ÷ b/c = a * c/b
-10/3 * 1/9
Step 5. Use this rule: a/b * c/d = ac/bd
-10 * 1/3 * 9
Step 6. Simplify 10 * 1 to 10
-10/3 * 9
Step 7. Simplify 3 * 9 to 27
-10/27