Advertisements
Advertisements
प्रश्न
Which term of the A.P. 105, 101, 97, ........ is the first negative term?
उत्तर
Here a = 105 and d = 101 – 105 = – 4
Let an be the first negative term.
`\implies` an < 0
`\implies` a + (n – 1)d < 0
`\implies` 105 + (n – 1)(– 4)<0
`\implies` 105 – 4n + 4 <0
`\implies` 109 – 4n < 0
`\implies` 109 < 4n
`\implies` 27.25 < n
The value of n = 28.
Therefore 28th term is the first negative term of the given A.P.
APPEARS IN
संबंधित प्रश्न
Divide 96 into four parts which are in A.P. and the ratio between product of their means to product of their extremes is 15 : 7.
Q.4
Q.8
Q.9
The 25th term of an A.P. exceeds its 9th term by 16. Find its common difference.
If the nth term of the A.P. 58, 60, 62, .... is equal to the nth term of the A.P. –2, 5, 12, …., find the value of n.
How many two digit numbers are divisible by 3?
Find the 8th term of the A.P. whose first term is 7 and common difference is 3.
Which term of the A.P. 53, 48, 43,… is the first negative term?
The 15th term of an A.P. is 3 more than twice its 7th term. If the 10th term of the A.P. is 41, find its nth term.
