मराठी

Let < an > Be a Sequence. Write the First Five Term in the Following: A1 = 1, an = an − 1 + 2, N ≥ 2

Advertisements
Advertisements

प्रश्न

Let < an > be a sequence. Write the first five term in the following:

a1 = 1, an = an − 1 + 2, n ≥ 2

Advertisements

उत्तर

 a1 = 1, an = an − 1 + 2, n ≥ 2

\[a_2 = a_1 + 2 = 1 + 2 = 3\]

\[ a_3 = a_2 + 2 = 5\]

\[ a_4 = a_3 + 2 = 7\]

\[ a_5 = a_4 + 2 = 9\]

Hence, the five terms are 1, 3, 5, 7 and 9.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.


Find the sum to n terms of the A.P., whose kth term is 5k + 1.


If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p + q) terms.


The difference between any two consecutive interior angles of a polygon is 5°. If the smallest angle is 120°, find the number of the sides of the polygon.


Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.


The pthqth and rth terms of an A.P. are a, b, c respectively. Show that (q – r )a + (r – p )b + (p – q )c = 0


Shamshad Ali buys a scooter for Rs 22000. He pays Rs 4000 cash and agrees to pay the balance in annual installment of Rs 1000 plus 10% interest on the unpaid amount. How much will the scooter cost him?


A man deposited Rs 10000 in a bank at the rate of 5% simple interest annually. Find the amount in 15th year since he deposited the amount and also calculate the total amount after 20 years.


Which term of the sequence 12 + 8i, 11 + 6i, 10 + 4i, ... is purely real ?


The first term of an A.P. is 5, the common difference is 3 and the last term is 80; find the number of terms.


If 9th term of an A.P. is zero, prove that its 29th term is double the 19th term.


In a certain A.P. the 24th term is twice the 10th term. Prove that the 72nd term is twice the 34th term.


If (m + 1)th term of an A.P. is twice the (n + 1)th term, prove that (3m + 1)th term is twice the (m + n + 1)th term.


If the nth term of the A.P. 9, 7, 5, ... is same as the nth term of the A.P. 15, 12, 9, ... find n.


How many numbers are there between 1 and 1000 which when divided by 7 leave remainder 4?


Find the sum of the following arithmetic progression :

3, 9/2, 6, 15/2, ... to 25 terms


The third term of an A.P. is 7 and the seventh term exceeds three times the third term by 2. Find the first term, the common difference and the sum of first 20 terms.


Find the sum of n terms of the A.P. whose kth terms is 5k + 1.


Find an A.P. in which the sum of any number of terms is always three times the squared number of these terms.


The sums of first n terms of two A.P.'s are in the ratio (7n + 2) : (n + 4). Find the ratio of their 5th terms.


If \[\frac{1}{a}, \frac{1}{b}, \frac{1}{c}\] are in A.P., prove that:

a (b +c), b (c + a), c (a +b) are in A.P.


If \[\frac{b + c}{a}, \frac{c + a}{b}, \frac{a + b}{c}\] are in A.P., prove that:

\[\frac{1}{a}, \frac{1}{b}, \frac{1}{c}\] are in A.P.


A man starts repaying a loan as first instalment of Rs 100 = 00. If he increases the instalments by Rs 5 every month, what amount he will pay in the 30th instalment?


A man saved ₹66000 in 20 years. In each succeeding year after the first year he saved ₹200 more than what he saved in the previous year. How much did he save in the first year?


If log 2, log (2x − 1) and log (2x + 3) are in A.P., write the value of x.


If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of p + q terms will be


If the sum of n terms of an A.P., is 3 n2 + 5 n then which of its terms is 164?


If the sum of first n even natural numbers is equal to k times the sum of first n odd natural numbers, then k =


If abc are in A.P. and xyz are in G.P., then the value of xb − c yc − a za − b is


The first three of four given numbers are in G.P. and their last three are in A.P. with common difference 6. If first and fourth numbers are equal, then the first number is 


If abc are in G.P. and a1/b1/y = c1/z, then xyz are in


If a, b, c, d are four distinct positive quantities in A.P., then show that bc > ad


In an A.P. the pth term is q and the (p + q)th term is 0. Then the qth term is ______.


A man accepts a position with an initial salary of Rs 5200 per month. It is understood that he will receive an automatic increase of Rs 320 in the very next month and each month thereafter. Find his salary for the tenth month


If the sum of n terms of a sequence is quadratic expression then it always represents an A.P


The number of terms in an A.P. is even; the sum of the odd terms in lt is 24 and that the even terms is 30. If the last term exceeds the first term by `10 1/2`, then the number of terms in the A.P. is ______.


The fourth term of an A.P. is three times of the first term and the seventh term exceeds the twice of the third term by one, then the common difference of the progression is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×