Math, asked by jigneshpatel97, 3 months ago

Is 205 a term of the sequence 8, 12 , 16, 20 ...?​

Answers

Answered by priyanshusant171
3

Answer:

Is 205 a term of the sequence 8, 12 , 16, 20 ...?

No, Because they had the difference of 4 in each

but 205 is not a divisible of 4.

Step-by-step explanation:

if you like my answer so please mark my answer as brainlist

THANK YOU

Answered by SƬᏗᏒᏇᏗƦƦᎥᎧƦ
142

Information given to us:

  • A.P. is 8, 12 , 16, 20 ...

What we have to calculate:

  • We have to find out whether 205 is a term of the given sequence or not.

Finding out common difference (d):

  • 12 - 8 = 4
  • 16 - 12 = 4
  • 20 - 16 = 4
  • 24 - 20 = 4
  • 28 - 24 = 4
  • 32 - 28 = 4

Therefore, common difference (d) is 4.

Using Formula,

  • n^th term = a + (n-1) d

Where,

  • n is number of terms
  • a is first term
  • d is common difference

Substituting the values in the given formula:

Again we have,

  • Number of terms is 205
  • Common difference is 4

Let us do!

  • 8 + (n - 1)4 = 205
  • 8 + (n - 1) × 4 = 205
  • 8 + 4n - 4 = 205
  • 4n + 8 = 205

Transposing the side positive sign would be negative,

  • 4n = 205 - 8

Subtracting 205 with 4,

  • 4n = 201

Now,

  • n = 201 / 4

Hence,

  • 205 is not a term of the given sequence because sequence can't be fraction.

Visit more:

  • https://brainly.in/question/2637322?utm_source=android&utm_medium=share&utm_campaign=question
  • https://brainly.in/question/29965287?utm_source=android&utm_medium=share&utm_campaign=question
Similar questions