Advertisements
Advertisements
प्रश्न
If 18, a, (b - 3) are in AP, then find the value of (2a – b)
Advertisements
उत्तर
It is given that 18, a,(b-3) are in AP.
∴ a-18 = (b-3) -a
⇒ a+a-b = 18-3
⇒ 2a -b = 15
Hence, the required value is 15.
APPEARS IN
संबंधित प्रश्न
If the sum of first 7 terms of an A.P. is 49 and that of its first 17 terms is 289, find the sum of first n terms of the A.P.
Find the sum of all natural numbers between 250 and 1000 which are exactly divisible by 3
Which term of the progression 20, 19`1/4`,18`1/2`,17`3/4`, ... is the first negative term?
Find the sum of the first 15 terms of each of the following sequences having the nth term as
yn = 9 − 5n
Find the sum of the first 25 terms of an A.P. whose nth term is given by an = 2 − 3n.
The 7th term of the an AP is -4 and its 13th term is -16. Find the AP.
The 4th term of an AP is zero. Prove that its 25th term is triple its 11th term.
The sum of first three terms of an AP is 48. If the product of first and second terms exceeds 4 times the third term by 12. Find the AP.
How many terms of the AP 21, 18, 15, … must be added to get the sum 0?
Find the first term and common difference for the A.P.
0.6, 0.9, 1.2,1.5,...
Choose the correct alternative answer for the following question .
First four terms of an A.P. are ....., whose first term is –2 and common difference is –2.
There are 25 rows of seats in an auditorium. The first row is of 20 seats, the second of 22 seats, the third of 24 seats, and so on. How many chairs are there in the 21st row ?
The sum of first 9 terms of an A.P. is 162. The ratio of its 6th term to its 13th term is 1 : 2. Find the first and 15th term of the A.P.
Write the nth term of the \[A . P . \frac{1}{m}, \frac{1 + m}{m}, \frac{1 + 2m}{m}, . . . .\]
Q.4
Q.18
Jaspal Singh repays his total loan of Rs. 118000 by paying every month starting with the first instalment of Rs. 1000. If he increases the instalment by Rs. 100 every month, what amount will be paid by him in the 30th instalment? What amount of loan does he still have to pay after the 30th instalment?
Find the sum of all even numbers from 1 to 250.
The 5th term and the 9th term of an Arithmetic Progression are 4 and – 12 respectively.
Find:
- the first term
- common difference
- sum of 16 terms of the AP.
