Math, asked by sageer66, 11 months ago

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10th term of 9, 5, 1, -3, ...​

Answers

Answered by LovelyG
11

Answer:

\large{\underline{\boxed{\sf a_{10}=-27}}}

Step-by-step explanation:

Given that ;

  • a = 9
  • d = (5 - 9) = - 4
  • n = 10

Now, we know that -

 \implies \bf a_n = a + (n - 1)d \\  \\  \implies \bf a_{10} = 9 + (10 - 1)( - 4) \\  \\ \implies \bf a_{10} =9 + 9( - 4) \\  \\ \implies \bf a_{10} =9 - 36 \\  \\ \implies \bf a_{10} = - 27

Hence, the 10th term is (-27).

\rule{300}{2}

Arithmetic Progression : A list of numbers in which every term is obtained by adding of subtracting a fixed number to the next term except the first term, is called Arithmetic Progression (AP).

The general form of A.P is -

a, (a + d), (a + 2d), (a + 3d)..... (a + nd).

Answered by BrainlyConqueror0901
88

Answer:

\huge{\red{\boxed{\boxed{\green{\sf{a10=-27}}}}}}

Step-by-step explanation:

\huge{\red{\boxed{\boxed{\green{\underline{\red{\sf{SOLUTION-}}}}}}}}

a1=9

a2=5

Common difference=a2-a1=5-9=-4

To find:

a10=?

{ \boxed { \red{detail \: method}}} \\ a = 9 \\ d =  - 4 \\  n = 10\\  \\ a10 = a + (n - 1)d \\ a10 =  9 + (10 - 1) \times  - 4 \\  a10 =  9 + ( - 36) \\ a10 = -  27 \\  \\ { \boxed{ \green {short cut \: method}}} \\ a10 = a + 9d \\ a10 =  9 + 9  \times  - 4 \\   a10 = 9 - 36 \\ a10 =  - 27

\huge{\red{\boxed{\boxed{\green{\sf{a10=-27}}}}}}

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