Advertisements
Advertisements
प्रश्न
Is 184 a term of the AP 3, 7, 11, 15, ….?
Advertisements
उत्तर
The given AP is 3,7,11,15,......
Here, a = 3and d = 7 - 3 = 4
Let the nth term of the given AP be 184. Then,
`a_n = 184`
⇒ 3+ (n-1) × 4 = 184 [an = a+ (n-1) d]
⇒ 4n - 1 = 184
⇒4n=185
⇒`n=185/4 = 46 1/4`
But, the number of terms cannot be a fraction.
Hence, 184 is not a term of the given aazzzAP.
APPEARS IN
संबंधित प्रश्न
In an AP, given a = 2, d = 8, and Sn = 90, find n and an.
A spiral is made up of successive semicircles, with centres alternately at A and B, starting with centre at A of radii 0.5, 1.0 cm, 1.5 cm, 2.0 cm, .... as shown in figure. What is the total length of such a spiral made up of thirteen consecutive semicircles? (Take `pi = 22/7`)
[Hint: Length of successive semicircles is l1, l2, l3, l4, ... with centres at A, B, A, B, ... respectively.]
Which term of the A.P. 121, 117, 113 … is its first negative term?
[Hint: Find n for an < 0]
If the pth term of an A. P. is `1/q` and qth term is `1/p`, prove that the sum of first pq terms of the A. P. is `((pq+1)/2)`.
Find the sum of all even integers between 101 and 999.
Find the sum of the first 22 terms of the A.P. : 8, 3, –2, ………
Find the value of x for which (x + 2), 2x, ()2x + 3) are three consecutive terms of an AP.
If an denotes the nth term of the AP 2, 7, 12, 17, … find the value of (a30 - a20 ).
Write an A.P. whose first term is a and the common difference is d in the following.
a = 10, d = 5
If first term of an A.P. is a, second term is b and last term is c, then show that sum of all terms is \[\frac{\left( a + c \right) \left( b + c - 2a \right)}{2\left( b - a \right)}\].
Let there be an A.P. with first term 'a', common difference 'd'. If an denotes in nth term and Sn the sum of first n terms, find.
If the sum of first p term of an A.P. is ap2 + bp, find its common difference.
The common difference of an A.P., the sum of whose n terms is Sn, is
If Sn denote the sum of n terms of an A.P. with first term a and common difference dsuch that \[\frac{Sx}{Skx}\] is independent of x, then
Q.3
Q.16
Find the sum of first 10 terms of the A.P.
4 + 6 + 8 + .............
A merchant borrows ₹ 1000 and agrees to repay its interest ₹ 140 with principal in 12 monthly instalments. Each instalment being less than the preceding one by ₹ 10. Find the amount of the first instalment.
The sum of first 16 terms of the AP: 10, 6, 2,... is ______.
Find the sum of first 17 terms of an AP whose 4th and 9th terms are –15 and –30 respectively.
