English
Maharashtra State BoardSSC (English Medium) 10th Standard

Find t_5 if a = 3 and d = –3.

Advertisements
Advertisements

Question

Find t5 if a = 3 and d = –3.

Sum
Advertisements

Solution

tn = a + (n – 1)d

∴ t5 = 3 + (5 – 1)(– 3)

= 3 + 4(– 3)

= 3 – 12

= – 9

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Arithmetic Progression - Q.1 (B)

RELATED QUESTIONS

Find the term t15 of an A.P. : 4, 9, 14, …………..


Find the sum of  the following arithmetic series:

`7 + 10 1/2 + 14 + ... + 84`


Decide whether the following sequence is an A.P., if so find the 20th term of the progression:

–12, –5, 2, 9, 16, 23, 30, ..............


Find the 27th term of the following A.P.
9, 4, –1, –6, –11,...


Select the correct alternative and write it. 

If a share is at premium, then - 


For a given A.P. a = 3.5, d = 0, then tn = _______.


If third term and fifth term of an A.P. are 13 and 25 respectively, find its 7th term.


Find tn if a = 20 and d = 3.


How many two-digit numbers are divisible by 5?

Activity :-  Two-digit numbers divisible by 5 are, 10, 15, 20, ......, 95.

Here, d = 5, therefore this sequence is an A.P.

Here, a = 10, d = 5, tn = 95, n = ?

tn = a + (n – 1) `square`

`square` = 10 + (n – 1) × 5

`square` = (n – 1) × 5

`square` = (n – 1)

Therefore n = `square`

There are `square` two-digit numbers divisible by 5.


12, 16, 20, 24,...... Find 25th term of this A.P.


If p - 1, p + 3, 3p - 1 are in AP, then p is equal to ______.


In an A.P. if the sum of third and seventh term is zero. Find its 5th term.


Write the next two terms of the A.P.: `sqrt(27), sqrt(48), sqrt(75)`......


What is the formula for the nth (general) term of an arithmetic progression?


The \( 10^{th} \) term and the \( 18^{th} \) term of an A.P. are \( 25 \) and \( 41 \) respectively. What is the first term \( a \)?


For Meera's salary pattern \( 10, 20, 40, 80, \ldots \), what is the common ratio shown by consecutive terms?


From which month onwards does Meera's salary exceed Tara's salary?


How is the common difference \( d \) of an A.P. expressed using consecutive terms \( a_{n} \) and \( a_{n + 1} \)?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×