Question

find the 15th term of ap : -10, -5, 0,5,10.......​

Answer 1

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→find the 15th term of ap : -10, -5, 0,5,10.......

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⇒Given:

• a = -10
• n = 15

⇒To Find:

• $a_{15}=?$

Common Difference-

$a_2-a$

⇒$-5-(-10)$

⇒$\Large{\red{5}}$

⇒Using The Formula :-

⇒$a_{15}=-10+(15-1)\times 5$

⇒$a_{15}=-10+(14\times 5)$

⇒$a_{15}=-10+80$

⇒$\huge{\pink{\overbrace{\underbrace{\purple{a_{\tiny{15}}=70}}}}}$

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Formulas Used :-

• $a_n=a+(n-1)d$

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Answer 2

Answer:

The 15th term is 70

Step-by-step explanation:

Given: -10, -5, 0, 5, 10,…

To find: 15th term i.e. t15

Here, a = -10

d = a2 – a1

=-5 – (-10 )

= 5

and n = 15

We have, tn = a + (n – 1)d t15

= -10 + (15 – 1)(5)

= -10+(14*5)

= -10+80 =70

Therefore, the 15th term of the given is 70.

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