Advertisements
Advertisements
प्रश्न
In the winter season let us take the temperature of Ooty from Monday to Friday to be in A.P. The sum of temperatures from Monday to Wednesday is 0°C and the sum of the temperatures from Wednesday to Friday is 18°C. Find the temperature on each of the five days.
उत्तर
Let the five days temperature be (a – d), a, a + d, a + 2d, a + 3d.
The three days sum = a – d + a + a + d = 0
⇒ 3a = 0 ⇒ a = 0 ...(given)
a + d + a + 2d + a + 3d = 18
3a + 6d = 18
3(0) + 6d = 18
6d = 18
d = `18/6` = 3
∴ The temperature of each five days is a – d, a, a + d, a + 2d, a + 3d
0 – 3, 0, 0 + 3, 0 + 2(3), 0 + 3(3) = – 3°C, 0°C, 3°C, 6°C, 9°C
APPEARS IN
संबंधित प्रश्न
The sum of three numbers in A.P. is 12 and sum of their cubes is 288. Find the numbers.
Which term of the sequence 4, 9 , 14, 19, …… is 124 ?
Write first four terms of the A.P. when the first term a and the common difference d are given as follows:
a = -1.25, d = -0.25
Find n if the nth term of the following A.P. is 68
5, 8, 11, 14, ..........
If 10 times the 10th term of an A.P. is equal to 15 times the 15th term, show that 25th term of the A.P. is zero.
First term a and common difference d are given below. Find the corresponding A.P.
a = 7, d = – 5
Find x, y and z, given that the numbers x, 10, y, 24, z are in A.P.
One person borrows ₹ 4,000 and agrees to repay with a total interest of ₹ 500 in 10 instalments. Each instalment being less than the preceding instalment by ₹ 10. What should be the first and the last instalments?
Find d if t9 = 23 व a = 7
If d = – 5, n = 10, an = 68, then find the first term.