Find the next terms in the sequence -2,1,10,25,46, , …
1 answer:
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Answer:
Step-by-step explanation:
refers to the permutations of 5 items taken 3 at a time. To evaluate this, we use factorials as follows;
The factorial of an integer n is evaluated as;
Using this concept, the above expression can now be simplified as follows;
Therefore, the permutations of 5 items taken 3 at a time is 60.
The next expression, refers to the combinations of 6 items taken 4 at a time. The simplification utilizes similar concepts of permutations since we shall be involving factorials;
Therefore, the combinations of 6 items taken 4 at a time is 15.
The final step is to evaluate the product;
<u>Answer:</u>
- Colin will have $2365 after 3 years.
<u>Step-by-step explanation:</u>
<u>Using PRT/100, we can find the interest and then sum it up with the principle amount.</u>
- => 2200 x 2.5 x 3/100 = Interest
- => 22 x 2.5 x 3 = Interest
- => 55 x 3 = Interest
- => 165 = Interest
- => 2200 + 165 = Total amount
- => $2365
Hence, <u>Colin will have $2365 after 3 years.</u>
Hoped this helped.