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10 Dec 2020, 07:38
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Each term of the sequence S, starting from the 2nd term is 1 less than the previous term of S. The sum of the first N terms of the sequence is 19. What is the value of N?
(1) The first term of S is 10.
(2) S has a total of 20 terms.
(1) The first term of S is 10.
(2) S has a total of 20 terms.
10 Dec 2020, 19:49
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Each term of the sequence S, starting from the 2nd term is 1 less than the previous term of S. The sum of the first N terms of the sequence is 19. What is the value of N?
So the sequence is a, a-1, a-2, a-3,.....,,
(1) The first term of S is 10.
N could be 2 : 10,9,.....
N could be 19 : 10,9,8,7,6.......,-6,-7,-8
(2) S has a total of 20 terms.
N could be 2 : 10,9,....
N could be 19 again as shown in statement I
Combined
N could be 2 or 19
E
So the sequence is a, a-1, a-2, a-3,.....,,
(1) The first term of S is 10.
N could be 2 : 10,9,.....
N could be 19 : 10,9,8,7,6.......,-6,-7,-8
(2) S has a total of 20 terms.
N could be 2 : 10,9,....
N could be 19 again as shown in statement I
Combined
N could be 2 or 19
E
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12 Dec 2020, 13:01
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can't we use the formula: S(n) = n/2 [2a + (n-1)d]. we know d =-1, and that S = 19
st 1 gives us a. 1 variable, 1 equation.
n= 37/19.
st2 is obviously not suff.
where am i wrong? would appreciate your pov chetansharma.
TIA.
st 1 gives us a. 1 variable, 1 equation.
n= 37/19.
st2 is obviously not suff.
where am i wrong? would appreciate your pov chetansharma.
TIA.
