Question

an=47 a=2 d=5 n=?
answer fast please​

Answer 1

Answer:

n=10

Step-by-step explanation:

an =a+(n-1)d

47=2+(n-1)5

45=5n-5

50=5n

n=10

Answer 2

Given :

Last term, an = 47

First term, a = 2

Common difference, d = 5

To find :

Nth term of AP, n = ?

Solution :

We know that,

» A sequence in which each term differs from its preceding term by a constant is called an arithmetic progression, known as AP.[tex][/tex]

Formula : aₙ = a + (n - 1) × d

Here,

• aₙ = Last term
• a = First term
• n = nth term
• d = Common difference.

Substituting all the given values in the formula,

➙ 47 = 2 + (n - 1) × 5

➙ 47 - 2 = (n - 1) × 5

➙ 45 = (n - 1) × 5

➙ 45/5 = n - 1

➙ 9 = n - 1

➙ 9 + 1 = n

➙ 10 = n

Thus, the nth term of an AP is 10.