Question

what is the nth term of -10,-5,0,5

Answer 1

Answer:

5n-15

Step-by-step explanation:

this series is in a.p. (Arithmatic Progression)

Here the common difference is d = 5 as

1st term = -10

2nd tern = -10+5= -5

3rd term = -5 + 5 = 0

4th term = 0+5 = 5

so in this way the nth term can be calculated according to the nth term formula = a+(n-1)d

where a= -10(1st term)

n= n

d = 5

=> -10+(n-1)5

=>-10+5n-5

=>5n - 15

Answer 2

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Given :

• Series : -10,-5,0,5,...

To find :

• nth term of series i.e. a(n)

Solution :

• To find whether the series is an AP or not

a1= -10

a2= -5

a3 = 0

d1 = a2- a1 = -5-(-10) = -5+10 = 5

d2 = a3 - a2 = 0-(-5) = 0+5 = 5

Since, d1=d2

The above series form an AP.

• Formula to find nth term

→a(n) = a+(n-1)d

a = -10

d = 5

n = n

→a(n)= -10+(n-1)5

→a(n) = -10+5n-5

→a(n) = -10-5+5n

→a(n) = -15+5n where n ≥ 4 [as four terms are already given in AP]

Nth term of given AP is -15+5n where n ≥ 4.