what new realization do you have about finding the nth term of the arithmetic sequence and finding the arithmetic means how would you use this in making decision

Step-by-step explanation:

Arithmetic Sequnce in our daily life

The knowledge of calculating the nth term of a sequence can be very helpful. Calculating loans, discounts, salary, savings are some of the use of arithmetic method. If I save P5 per day for 5 years, I can simply use arithmetic sequence to find how much I saved from day 1 to last. Salary increase can also be solved using arithmetic sequence. Below is an example.

Sample real life problem:

1. I earn P300 on the first day. After each succeeding day, I earn P2 more than the previous day. How much should I be able to earn after 30 days?

In this situation, I would use the arithmetic sequence formula which is:

an = a1 + (n - 1)d

an is the nth term

a1 is the first term

n is the term position

d is the common difference

Lets subsitute:

an = P300 + (30 - 1)P2

an = P358

I should earn P348 at the end of 30 days

a

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