English
Maharashtra State BoardSSC (English Medium) 10th Standard

Complete the following activity to find the 19th term of an A.P. 7, 13, 19, 25, ........ : Activity: Given A.P. : 7, 13, 19, 25, .......... Here first term a = 7; t19 = ?

Advertisements
Advertisements

Question

Complete the following activity to find the 19th term of an A.P. 7, 13, 19, 25, ........ :

Activity: 

Given A.P. : 7, 13, 19, 25, ..........

Here first term a = 7; t19 = ?

tn + a + `(square)`d .........(formula)

∴ t19 = 7 + (19 – 1) `square`

∴ t19 = 7 + `square`

∴ t19 = `square`

Fill in the Blanks
Sum
Advertisements

Solution

Given, A.P. : 7, 13, 19, 25, ..........

Here, first term a = 7; t19 = ?

tn + a + (n  – 1)d .........(formula)

∴ t19 = 7 + (19 – 1)6

∴ t19 = 7 + 108

∴ t19 = 115

shaalaa.com
  Is there an error in this question or solution?
2021-2022 (March) Set 1

APPEARS IN

RELATED QUESTIONS

The first and the last terms of an AP are 7 and 49 respectively. If sum of all its terms is 420, find its common difference.


If the 3rd and the 9th terms of an AP are 4 and –8 respectively, which term of this AP is zero?


Find the sum of first 15 multiples of 8.


Find the sum of the odd numbers between 0 and 50.


A sum of Rs 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, find the value of each of the prizes.


The 4th term of an AP is zero. Prove that its 25th term is triple its 11th term.


If the ratio of sum of the first m and n terms of an AP is m2 : n2, show that the ratio of its  mth and nth terms is (2m − 1) : (2n − 1) ?


Write the nth term of an A.P. the sum of whose n terms is Sn.


The nth term of an A.P., the sum of whose n terms is Sn, is


If 18, ab, −3 are in A.P., the a + b =


Mrs. Gupta repays her total loan of Rs. 1,18,000 by paying installments every month. If the installments for the first month is Rs. 1,000 and it increases by Rs. 100 every month, What amount will she pays as the 30th installments of loan? What amount of loan she still has to pay after the 30th installment?


Q.20


How many terms of the series 18 + 15 + 12 + ........ when added together will give 45?


Show that a1, a2, a3, … form an A.P. where an is defined as an = 3 + 4n. Also find the sum of first 15 terms.


The sum of first six terms of an arithmetic progression is 42. The ratio of the 10th term to the 30th term is `(1)/(3)`. Calculate the first and the thirteenth term.


Find second and third terms of an A.P. whose first term is – 2 and the common difference is – 2.


Find the sum of numbers between 1 to 140, divisible by 4.


Find the sum of odd natural numbers from 1 to 101.


How many terms of the AP: –15, –13, –11,... are needed to make the sum –55? Explain the reason for double answer.


The sum of the 4th and 8th term of an A.P. is 24 and the sum of the 6th and 10th term of the A.P. is 44. Find the A.P. Also, find the sum of first 25 terms of the A.P.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×