Arithmetic and Geometric Sequences and Series with solved examples of some practical problems

Описание к видео Arithmetic and Geometric Sequences and Series with solved examples of some practical problems

the video gives full explanations from very basic mathematics from numbers . it explain the common difference in the arithmetic sequence, derivations' of nth term and series with derivation of the sum of the terms of the sequences. it solved many examples to make you understand of the basic of the Arithmetic sequence and also known as arithmetic Progression.
second part of the video explain the geometric sequence and the common ration. n term of the geometric sequence or progressions is derived and finally the geometric series are discussed. the derivation of the sum of the geometric sequences terms and geometric series is explained.
many practical problems related to geometric sequence are taken and explained, for example.
A computer loses 30% of its value each year. Write a formula for the value of computer after n years.
How many years will it be before the value of computer fall below 10% of its original value?
A family decide to save money in an account that pays 9% annual compound interest calculated at the end of each year. They put 25,000 in the account at the beginning of each year. All interest is added to the account and no withdrawals are made.
How much money will they have in the account on the day after they have done their 10th payment?
Number of people in a small country town increases by 2% every year, if the population of the start of 1990 was 12,500. What is the predicted population at the start of 2030.
When a ball is dropped onto the floor, it bounce to 65% of its height from which it was dropped. If the ball is dropped from 80 cm. Find the height after fifth bounce of the fifth bounce.

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