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If the 3rd and the 9th term of Ch 5 Maths Class 10 Ex 5.2 Use an AP are 4 and -8 respectively, which term of this AP is zero? The 17th term of an AP exceeds its 10th term by 7. Find the common difference. Which term of the AP: 3, 15, 27, 39, � will be more than its 54th term?
Two APs have the same common difference. The difference between their th terms is , what is the difference between their th terms? How many three-digit numbers are divisible by 7? How many multiples of 4 lie between 10 and ? For what value of n, the nth term of two APs: 63, 65, 61,� and 3, 10, 17,� are equal?
Determine the AP whose 3rd term is 16 and 7th term exceeds the 5th term by Find the 20th term from the last term of the AP: 3, 8, 13, �, The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is Find the first three terms of the AP. Fill in the blanks in the following table, given that a is the first term, d the common difference and the nth term of the AP: Solution: Ex 5. It could be that the succeeding and the preceding terms are the sums or the difference of some number that follows a particular ratio.
There are many such progressions when you go about studying mathematics. A very important one among them is the arithmetic progression. Arithmetic progression or AP is a series where a pattern is formed when the succeeding term is formed by adding a particular number to the previous value. When you notice a pattern of numbers that has d as the common difference between its two consecutive numbers, then this is an arithmetic progression.
If you have been given a series and you figure out that it is in an arithmetic progression, then how do you go about finding out what could be the nth term of this series.
This section helps students to derive the formula for the nth term of an AP series that in turn lets you find the nth term of any AP series. Students need to remember this formula and then need to find out what the n and the d values are. Apply it in the formula and get the nth term of the AP series.
The section explains how on getting an AP series; you can go ahead and find the sum of n terms of an AP series. This is important to know because it makes no sense to use a calculator and add each term of the AP series to find out its sum. The section helps students to derive the formula of the n terms of an AP, and this formula can be used to find out the summation. All that the student needs to do is to remember the formula and then to apply the value correctly to the formula to get the right answers.
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