Question

find first four terms from following data is a=-6 d=-3​

Answer 1

Answer:

,-6,-9,-12,-15 add d to the previous terms

Answer 2

Given :

• First Term = -6
• Common Difference = -3

To Find :

First four terms.

Solution :

Analysis :

Here by using the formula of AP to find the n number of terms we can find the first four tems.

Required Formula :

aₙ = a + (n - 1)d

where,

• aₙ = The term
• a = first term
• d = Common Difference
• n = Respective term

Explanation :

2nd Term :

We know that if we are given the first term and common difference of the AP and is asked to find the terms then our required formula is,

aₙ = a + (n - 1)d

where,

• aₙ = a₂
• a = -6
• d = -3
• n = 2

Using the required formula and substituting the required values,

⇒ aₙ = a + (n - 1)d

⇒ a₂ = -6 + (2 - 1)-3

⇒ a₂ = -6 + (1)-3

⇒ a₂ = -6 + 1 × -3

⇒ a₂ = -6 + (-3)

⇒ a₂ = -6 -3

⇒ a₂ = -9

∴ a₂ = -9.

3rd Term :

We know that if we are given the first term and common difference of the AP and is asked to find the terms then our required formula is,

aₙ = a + (n - 1)d

where,

• aₙ = a₃
• a = -6
• d = -3
• n = 3

Using the required formula and substituting the required values,

⇒ aₙ = a + (n - 1)d

⇒ a₃ = -6 + (3 - 1)-3

⇒ a₃ = -6 + (2)-3

⇒ a₃ = -6 + 2 × -3

⇒ a₃ = -6 + (-6)

⇒ a₃ = -6 -6

⇒ a₃ = -12

∴ a₃ = -12.

4th Term :

We know that if we are given the first term and common difference of the AP and is asked to find the terms then our required formula is,

aₙ = a + (n - 1)d

where,

• aₙ = a₄
• a = -6
• d = -3
• n = 4

Using the required formula and substituting the required values,

⇒ aₙ = a + (4 - 1)d

⇒ a₄ = -6 + (4 - 1)-3

⇒ a₄ = -6 + (3)-3

⇒ a₄ = -6 + 3 × -3

⇒ a₄ = -6 + (-9)

⇒ a₄ = -6 -9

⇒ a₄ = -15

∴ a₄ = -19.

The first four terms of the A.P. is -6, -9, -12, -15.