Question

find the nth term of the A.P. -10,-15,-2,-25​

Answer 1

Answer:

a9 = a + ( n-1)d

d = -5

n = 1

a = -10

therefore a9= -10+8*(-5)

= -10-40

=-50 is the answer

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Answer 2

GIVEN:-

A.P. -10,-15,-20,-25.

To Find:-

nth term of the A.P.

SOLUTION:-

Formula used to find the nth term:-

$\large{\underline{\boxed{\sf{\blue{a_{n}=a+(n-1)\times\:d}}}}}$

where,

• a is the first term
• d is the common difference
• n is the term

According to the question,

$\large\Rightarrow{\sf{a_{n}=a+(n-1)\times\:d}}$

where,

• a = -10
• d = -15-(-10)

= -15 + 10

= -5

Putting the values,

$\large\Rightarrow{\sf{a_{n}=(-10)+(n-1)\times-5}}$

$\large\Rightarrow{\sf{a_{n}=(-10)+(-5n)+5}}$

$\large\Rightarrow{\sf{a_{n}=(-10)+5+(-5n)}}$

$\large\Rightarrow{\sf{a_{n}=(-5)+(-5n)}}$

$\large\boxed{\therefore{\sf{a_{n}=-5-5n}}}$

$\large{\pink{\underline{\boxed{\therefore{\sf{\pink{nth\:term\:of\:the\:A.P.\:is\:(-5-5n).}}}}}}}$