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​The number of terms in an A.P. is even; the sum of the odd terms in it is 24 and that the even terms is 30. If the last term exceeds the first term by , then the number of terms in the A.P. is :
  • a)
    8
  • b)
    4
  • c)
    16
  • d)
    12
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The number of terms in an A.P. is even; the sum of the odd terms in it...
Let no. of terms = 2n

sum of even terms
....... (i)
sum of odd terms
........ (ii)
....... (iii)
eq. (i)....eq. (ii)
........(iv)
........... (v)

n = 4 so no. of terms = 8
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The number of terms in an A.P. is even; the sum of the odd terms in it is 24 and that the even terms is 30. If the last term exceeds the first term by,then the number of terms in the A.P. is :a)8b)4c)16d)12Correct answer is option 'A'. Can you explain this answer?
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