Advertisements
Advertisements
प्रश्न
Determine k so that k2 + 4k + 8, 2k2 + 3k + 6, 3k2 + 4k + 4 are three consecutive terms of an AP.
उत्तर
Since, k2 + 4k + 8, 2k2 + 3k + 6 and 3k2 + 4k + 4 are consecutive terms of an AP.
∴ 2k2 + 3k + 6 – (k2 + 4k + 8)
= 3k2 + 4k + 4 – (2k2 + 3k + 6) ...[Common difference]
⇒ 2k2 + 3k + 6 – k2 – 4k – 8 = 3k2 + 4k + 4 – 2k2 – 3k – 6
⇒ k2 – k – 2 = k2 + k – 2
⇒ – k = k
⇒ 2k = 0
⇒ k = 0
APPEARS IN
संबंधित प्रश्न
There is an auditorium with 35 rows of seats. There are 20 seats in the first row, 22 seats in the second row, 24 seats in the third row and so on. Find the number of seats in the twenty-fifth row.
Find the middle term of the A.P. 213, 205, 197, ---, 37.
If the nth term of a progression be a linear expression in n, then prove that this progression is an AP
Write first four terms of the A.P. when the first term a and the common differenced are given as follows:
a = -2, d = 0
Find n if the given value of x is the nth term of the given A.P.
`1, 21/11, 31/11, 41/11,......, x = 171/11`
Find the common difference of the A.P. and write the next two terms \[0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, . . . \]
First four terms of an A.P., are ______ whose first term is –2 and the common difference is –2.
In an A.P. a = 4 and d = 0, then find first five terms
Merry got a job with salary ₹ 15000 per month. If her salary increases by ₹ 100 per month, how much would be her salary after 20 months?
If 2x, x + 10, 3x + 2 are in A.P., then x is equal to ______.
