Question

23.What is the 100th term of the given A.P. -> 5, 0, -5, -10, ………….

(1 Point)​

Answer 1

Step-by-step explanation:

a= 5

d= 0-5= -5

100 term = a+ 99d

5+(99)×-5

5-495

= -490

ANSWER = -490

Answer 2

To Find :

• 100th term of AP.

Solution :

• AP :- 5 ,0 , - 5 , - 10
• First term (a) = 5
• Common difference (d) = 0 - 5 = -5

100th term of AP :

As we know that,

$\red{\bf{a_n = (n - 1)d}}$

$\large{\rm{a_{100} = 5 + (100 - 1)\times(-5)}}$

$\large{\rm{a_{100}= 5 + 99\times(-5)}}$

$\large{\rm{a_{100}=5-495}}$

$\large{\rm{a_{100}-490}}$

$\large\dag \large { \red{\underline{\bf{Hence }}}}$

$\pink{\textrm{100th term of AP is -490}}$

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