Question

The 15ᵗʰ term of the AP: −2, 0, 2, 4, ……... is​

Answer 1

Answer:

26

Step-by-step explanation:

there is a difference of 2 between the numbers in the given AP

so , we will add 2 with the last term .I.e. 4 to get next term

-2,0,2,4,6,8,10,12,14,16,18,20,22,24,26

so, the 15th term of the AP we got is 26

I hope, this will help you

Thank u

Answer 2

We are asked to find the 15th term of the given AP that is -2 , 0 , 2 , 4 , …….…

Here,

• The first term (a) = -2
• Second term = 0

Common difference:

→ Second term - First term

→ 0 - (-2)

→ 0 + 2

→ Common difference = 2

~ Now the 15th term(n) of the given AP

→ ${\sf{a_n \: = a + (n-1) \times 2}}$

→ ${\sf{a_{15} \: = -2 + (15-1) \times 2}}$

→ ${\sf{a_{15} \: = -2 + 14 \times 2}}$

→ ${\sf{a_{15} \: = -2 + 28}}$

→ ${\sf{a_{15} \: = +26}}$

Henceforth, the 15th term of the given AP is 26