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Find nth term of Arithmetic Sequence a = 10, n=72, and d=2

Here is our quick and easy-to-use online Arithmetic Sequence Calculator to find nth term of arithmetic sequence a = 10, n=72, and d=2 in microseconds and provides output i.e., 152 along with a neat explanation. 

First term [a]:
common difference[d]:
Total terms[n]:

Steps to find nth term of arithmetic sequence:

nth term of arithmetic sequence formula:-

an = a + (n-1) *d


where:
  • an is the nth term
  • a is first term
  • n is total number of terms
  • d is common difference
Input values are:-

a = 10

n = 72

d = 2

Put values into formula

a72 =a + (n-1) *d

a72 = 10 + (72-1) *2

a72 = 152

Detailed Steps To Find Nth Term of Arithmetic Sequence a = 10, n=72, and d=2

The steps that should be followed to calculate the Nth Term of Arithmetic Sequence a = 10, n=72, and d=2 is listed below for your knowledge. Refer to them while finding the nth term of AP: 

  • At the initial stage, you have to understand the given terms to find the nth term of the Arithmetic sequence i.e., a = 10, n=72, and d=2.
  • Now, you have to apply the formula of arithmetic progression nth term ie., an =a+(n-1)d and put the values in it. 
  • After simplifying the expression, you will get the output as a5=152. 

Example for Finding nth term of Arithmetic Sequence

Find nth term of AP when a = 6, r = 5 and n = 90
Find nth term of AP when a = 2, r = 2 and n = 96
Find nth term of AP when a = 4, r = 5 and n = 82
Find nth term of AP when a = 6, r = 4 and n = 92
Find nth term of AP when a = 5, r = 5 and n = 90
Find nth term of AP when a = 4, r = 5 and n = 84
Find nth term of AP when a = 10, r = 1 and n = 87
Find nth term of AP when a = 8, r = 3 and n = 98
Find nth term of AP when a = 2, r = 4 and n = 85
Find nth term of AP when a = 1, r = 3 and n = 82

FAQs on Calculating Nth Term of Arithmetic Sequence for a = 10, n=72, and d=2

1. How do you find the nth term of an Arithmetic Sequence? 

The nth term of an AP is calculated by the formula ie., an =a+(n-1)d. So, substitute the given values in the nth term Arithmetic sequence formula and get the result in no time. 

2. What is the nth term of the given Arithmetic Sequence a = 10, n=72, and d=2?

The nth term of the given Arithmetic Sequence a = 10, n=72, and d=2 is a5=152. 

3. How do you calculate the nth term of a given Arithmetic Sequence a = 10, n=72, and d=2 using the Arithmetic Sequence calculator? 

With the help of an online arithmetic sequence calculator, you can easily calculate the nth term of a given Arithmetic Sequence a = 10, n=72, and d=2 just by entering the values in the input box and pressing the calculate button to provide the desired output ie., 152 in split seconds.