Question

First term of an arithmetic sequence is 8 and the common difference is 5. Write its algebraic form.

Answer 1

Given :-

• First term = 8

• Common difference = 5

To Find :-

• Algebraic form of the given A.P

Solution :-

★ Aₙ = a + ( n - 1 ) d

⇒ Aₙ = 8 + ( n - 1 ) × 5

⇒ Aₙ = 8 + 5n - 5

⇒ Aₙ = 5n + 3

Answer 2

▪ Given -

First Term of an arithmetic Sequence is 8 and the common difference is 5

▪ To Find -

Algebraic Form of given Arithmetic Progression

▪ Solution -

Here,

A = First Term

d = Common Difference

We know Formula for Algebraic Form,

☆ An = a + (n-1) d

Now, Let's Place values,

➱ An = 8 + (n-1) × 5

➱ An = 8 + 5n - 5 .. Multiplying by 5 to (n-1)

➱ An = 5n - 5 + 8

➱ An = 5n + 3

⛬ Algebraic Form of given Arithmetic Progression is 5n + 3