मराठी

Find the 12th Term from the Following Arithmetic Progression:1, 4, 7, 10, ..., 88

Advertisements
Advertisements

प्रश्न

Find the 12th term from the following arithmetic progression:

1, 4, 7, 10, ..., 88

Advertisements

उत्तर

 1, 4, 7, 10...88
Consider the given progression with 88 as the first term and −3 as the common difference.
12th term from the end = \[88 + (12 - 1)( - 3) = 55\]

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 19: Arithmetic Progression - Exercise 19.2 [पृष्ठ १२]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
पाठ 19 Arithmetic Progression
Exercise 19.2 | Q 15.3 | पृष्ठ १२

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

If the sum of n terms of an A.P. is 3n2 + 5n and its mth term is 164, find the value of m.


if `(a^n + b^n)/(a^(n-1) + b^(n-1))` is the A.M. between a and b, then find the value of n.


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.


Show that the sum of (m + n)th and (m – n)th terms of an A.P. is equal to twice the mth term.


Find the sum of integers from 1 to 100 that are divisible by 2 or 5.


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


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?


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

a1 = 1, an = an − 1 + 2, n ≥ 2


Which term of the A.P. 3, 8, 13, ... is 248?


Which term of the A.P. 84, 80, 76, ... is 0?


Is 68 a term of the A.P. 7, 10, 13, ...?


Which term of the sequence 24, \[23\frac{1}{4,} 22\frac{1}{2,} 21\frac{3}{4}\]....... is the first negative term?


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


Find the 12th term from the following arithmetic progression:

 3, 5, 7, 9, ... 201


Find the 12th term from the following arithmetic progression:

3, 8, 13, ..., 253


The 4th term of an A.P. is three times the first and the 7th term exceeds twice the third term by 1. Find the first term and the common difference.


Find the sum of the following arithmetic progression :

1, 3, 5, 7, ... to 12 terms


Find the sum of the following arithmetic progression :

 (x − y)2, (x2 + y2), (x + y)2, ... to n terms


Find the sum of the following serie:

101 + 99 + 97 + ... + 47


Find the sum of all odd numbers between 100 and 200.


Find the sum of all even integers between 101 and 999.


Find the sum of the series:
3 + 5 + 7 + 6 + 9 + 12 + 9 + 13 + 17 + ... to 3n 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.


The sums of n terms of two arithmetic progressions are in the ratio 5n + 4 : 9n + 6. Find the ratio of their 18th terms.


If a, b, c is in A.P., prove that:

 (a − c)2 = 4 (a − b) (b − c)


If \[a\left( \frac{1}{b} + \frac{1}{c} \right), b\left( \frac{1}{c} + \frac{1}{a} \right), c\left( \frac{1}{a} + \frac{1}{b} \right)\] are in A.P., prove that abc are in A.P.


If x, y, z are in A.P. and A1 is the A.M. of x and y and A2 is the A.M. of y and z, then prove that the A.M. of A1 and A2 is y.


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?


Write the sum of first n even natural numbers.


If \[\frac{3 + 5 + 7 + . . . + \text { upto n terms }}{5 + 8 + 11 + . . . . \text { upto 10 terms }}\] 7, then find the value of n.


If the sum of n terms of an A.P. be 3 n2 − n and its common difference is 6, then its first term is


If Sn denotes the sum of first n terms of an A.P. < an > such that

\[\frac{S_m}{S_n} = \frac{m^2}{n^2}, \text { then }\frac{a_m}{a_n} =\]

Mark the correct alternative in the following question:

\[\text { If in an A . P } . S_n = n^2 q \text { and } S_m = m^2 q, \text { where } S_r \text{ denotes the sum of r terms of the A . P  . , then }S_q \text { equals }\]


The first term of an A.P. is a, the second term is b and the last term is c. Show that the sum of the A.P. is `((b + c - 2a)(c + a))/(2(b - a))`.


Let Sn denote the sum of the first n terms of an A.P. If S2n = 3Sn then S3n: Sn is equal to ______.


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


If the first term of an A.P. is 3 and the sum of its first 25 terms is equal to the sum of its next 15 terms, then the common difference of this A.P. is ______.


If 100 times the 100th term of an A.P. with non zero common difference equals the 50 times its 50th term, then the 150th term of this A.P. is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×