Find the value of n in each triangle.
1 answer:
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the first term is 2 and the 20th term is 1048576 .
<u>Step-by-step explanation:</u>
Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:
We know that Sum of a GP is :
⇒
So ,Sum of first 12 terms is :
⇒
⇒
⇒
⇒
Now , nth term of a GP is
⇒
So , 20th term is :
⇒
⇒
⇒
Therefore , the first term is 2 and the 20th term is 1048576 .
Answer:
- A. $23
- B. 0.997359
Step-by-step explanation:
1. The policy rates in the table are for $25000 of insurance. Lydia wants $100,000 of insurance, which is 4 times the amount quoted in the table. Hence her premium will be 4 times the quoted premium. Her spot in the table is in the age 24–30 row and the Female Non-Smoker column. Lydia's premium will be 4×$3.50, or $14 per month.
She wants 2 times the amount quoted in the table ($50,000) of insurance for her spouse, so the premium will be 2 times that quoted in the table. His spot in the table is in the age Under 24 row and the Male Smoker column. The premium for his insurance will be 2×$4.50, or $9 per month.
The total of the two premiums will be $14 = 9 = $23 per month.
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2. The probability of living another year is the complement of the probability of dying. For a 35–44 year-old male, the probability of dying is 264.1/100,000, about 2.641×10^-3. The complement of that is ...
1 - 0.002641 = 0.997359
