CBSE Class 10 Answered
WHICH TERM OF THE SEQUENCE 20,77/4, 37/2,71/4.......IS THE FIRST NEGATIVE TERM?
Asked by | 06 Feb, 2014, 12:24: PM
Expert Answer
Dear Student,
20,, ,
2nd term - 1st term = - 20 = - = .
3rd term - 2nd term = - = - = .
4th term - 3rd term = - = - = .
So the common difference is d =
Use the nth term formula for an arithmetic sequence. an = a1 + (n-1)d 1st term = a1 = 20, d = an = 20 + (n-1) We set that < 0 to make it negative, and solve for n: 20 + (n-1) < 0 Multiply both sides by 4 80 + (n-1)(-3) < 0 80 + (-3)(n-1) < 0 80 - 3(n-1) < 0 80 - 3n + 3 < 0 83 - 3n < 0 -3n < -83 n > So the 28th term is the first negative term. That term is: an = a1 + (n-1)d a28 = 20 + (28-1) a28 = 20 + (27) a28 = 20 + a28 = - a28 =
Answered by | 06 Feb, 2014, 03:12: PM
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