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If sum of n terms is an A.P is given by Sn = 2n2 + n then find the 10th term.
Correct answer is '39'. Can you explain this answer?
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If sum of n terms is an A.P is given by Sn = 2n2 + n then find the 10...
Given,
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Sn = 2n2 + n.
For Sn−1, We will put (n − 1) at the place of n.
⇒ Tn = Sn − Sn−1 = (2n2 + n) − {2(n − 1)2 + (n − 1)}
⇒ Tn = 2n2 + n − {2(n2 − 2n + 1) + n − 1}
⇒ Tn = 2n2 + n − {2n2 − 4n + 2 + n − 1}
⇒ Tn = 2n2 + n − 2n2 + 3n − 2+1
⇒ Tn = 4n − 1
Therefore, T10 = 4×10−1 = 39
Hence, the correct answer is 39.
Most Upvoted Answer
If sum of n terms is an A.P is given by Sn = 2n2 + n then find the 10...
Given:
The sum of n terms of an arithmetic progression (A.P) is given by Sn = 2n^2 + n.
To find:
The 10th term of the arithmetic progression.
Solution:
To find the 10th term of the arithmetic progression, we need to find the value of the sum of the first 10 terms (S10) and then subtract the sum of the first 9 terms (S9) from it.
Finding the sum of the first 10 terms (S10):
We are given that Sn = 2n^2 + n. Substituting n = 10, we get:
S10 = 2(10^2) + 10
S10 = 2(100) + 10
S10 = 200 + 10
S10 = 210
Finding the sum of the first 9 terms (S9):
Using the same formula, we substitute n = 9:
S9 = 2(9^2) + 9
S9 = 2(81) + 9
S9 = 162 + 9
S9 = 171
Calculating the 10th term:
The 10th term (T10) can be calculated by subtracting the sum of the first 9 terms (S9) from the sum of the first 10 terms (S10):
T10 = S10 - S9
T10 = 210 - 171
T10 = 39
Answer:
Therefore, the 10th term of the arithmetic progression is 39.
The sum of n terms of an arithmetic progression (A.P) is given by Sn = 2n^2 + n.
To find:
The 10th term of the arithmetic progression.
Solution:
To find the 10th term of the arithmetic progression, we need to find the value of the sum of the first 10 terms (S10) and then subtract the sum of the first 9 terms (S9) from it.
Finding the sum of the first 10 terms (S10):
We are given that Sn = 2n^2 + n. Substituting n = 10, we get:
S10 = 2(10^2) + 10
S10 = 2(100) + 10
S10 = 200 + 10
S10 = 210
Finding the sum of the first 9 terms (S9):
Using the same formula, we substitute n = 9:
S9 = 2(9^2) + 9
S9 = 2(81) + 9
S9 = 162 + 9
S9 = 171
Calculating the 10th term:
The 10th term (T10) can be calculated by subtracting the sum of the first 9 terms (S9) from the sum of the first 10 terms (S10):
T10 = S10 - S9
T10 = 210 - 171
T10 = 39
Answer:
Therefore, the 10th term of the arithmetic progression is 39.
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If sum of n terms is an A.P is given by Sn = 2n2 + n then find the 10th term.Correct answer is '39'. Can you explain this answer?
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If sum of n terms is an A.P is given by Sn = 2n2 + n then find the 10th term.Correct answer is '39'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If sum of n terms is an A.P is given by Sn = 2n2 + n then find the 10th term.Correct answer is '39'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sum of n terms is an A.P is given by Sn = 2n2 + n then find the 10th term.Correct answer is '39'. Can you explain this answer?.
If sum of n terms is an A.P is given by Sn = 2n2 + n then find the 10th term.Correct answer is '39'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If sum of n terms is an A.P is given by Sn = 2n2 + n then find the 10th term.Correct answer is '39'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sum of n terms is an A.P is given by Sn = 2n2 + n then find the 10th term.Correct answer is '39'. Can you explain this answer?.
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