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In an ap a is equal to 5 by 2 is equal to 3 by 2 SN is equal to 195 n is not given an is not given find them?
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In an ap a is equal to 5 by 2 is equal to 3 by 2 SN is equal to 195 n ...
Given Information:
- a = 5/2
- d = 3/2
- Sn = 195
Finding n:
To find the value of n, we first need to find the common difference (d) of the arithmetic progression using the formula:
d = a2 - a1
Given a1 = a = 5/2 and a2 = a + d = 5/2 + 3/2 = 8/2 = 4
So, d = 4 - 5/2 = 3/2
Now, we know that the sum of the first n terms of an arithmetic progression can be calculated using the formula:
Sn = n/2 * (a1 + an)
where an = a1 + (n-1)d
Substitute the given values:
195 = n/2 * (5/2 + (5/2 + (n-1)(3/2)))
195 = n/2 * (5/2 + 5/2 + 3n/2 - 3/2)
195 = n/2 * (5 + 3n/2)
Solving the above equation will give us the value of n.
Finding an:
Once we have found the value of n, we can find the nth term (an) of the arithmetic progression using the formula:
an = a + (n-1)d
Substitute the values of a, d, and n to find the nth term an.
In this way, we can find the values of n and an for the given arithmetic progression.
- a = 5/2
- d = 3/2
- Sn = 195
Finding n:
To find the value of n, we first need to find the common difference (d) of the arithmetic progression using the formula:
d = a2 - a1
Given a1 = a = 5/2 and a2 = a + d = 5/2 + 3/2 = 8/2 = 4
So, d = 4 - 5/2 = 3/2
Now, we know that the sum of the first n terms of an arithmetic progression can be calculated using the formula:
Sn = n/2 * (a1 + an)
where an = a1 + (n-1)d
Substitute the given values:
195 = n/2 * (5/2 + (5/2 + (n-1)(3/2)))
195 = n/2 * (5/2 + 5/2 + 3n/2 - 3/2)
195 = n/2 * (5 + 3n/2)
Solving the above equation will give us the value of n.
Finding an:
Once we have found the value of n, we can find the nth term (an) of the arithmetic progression using the formula:
an = a + (n-1)d
Substitute the values of a, d, and n to find the nth term an.
In this way, we can find the values of n and an for the given arithmetic progression.
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In an ap a is equal to 5 by 2 is equal to 3 by 2 SN is equal to 195 n is not given an is not given find them?
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In an ap a is equal to 5 by 2 is equal to 3 by 2 SN is equal to 195 n is not given an is not given find them? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In an ap a is equal to 5 by 2 is equal to 3 by 2 SN is equal to 195 n is not given an is not given find them? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an ap a is equal to 5 by 2 is equal to 3 by 2 SN is equal to 195 n is not given an is not given find them?.
In an ap a is equal to 5 by 2 is equal to 3 by 2 SN is equal to 195 n is not given an is not given find them? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In an ap a is equal to 5 by 2 is equal to 3 by 2 SN is equal to 195 n is not given an is not given find them? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an ap a is equal to 5 by 2 is equal to 3 by 2 SN is equal to 195 n is not given an is not given find them?.
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