find the sequence whose nth term is 3+ 4n
Answers
EXPLANATION.
Sequence whose nth term = 3 + 4n.
As we know that,
General term of an A.P.
⇒ Tₙ = a + (n - 1)d.
⇒ 3 + 4n.
Put n = 1 in equation, we get.
⇒ 3 + 4(1).
⇒ 3 + 4
⇒ 7.
put n = 2 in equation, we get.
⇒ 3 + 4(2).
⇒ 3 + 8.
⇒ 11.
put n = 3 in equation, we get.
⇒ 3 + 4(3).
⇒ 3 + 12.
⇒ 15.
put n = 4 in equation, we get.
⇒ 3 + 4(4).
⇒ 3 + 16.
⇒ 19.
Sequence = 7, 11, 15, 19,,,,,,,,
First term = a = 7.
Common difference = d = b - a = c - b.
common difference = 11 - 7 = 15 - 11.
Common difference = 4 = 4.
Put the formula in nth term, we get.
⇒ Tₙ = a + (n - 1)d.
⇒ Tₙ = 7 + (n - 1)4.
⇒ Tₙ = 7 + 4n - 4.
⇒ Tₙ = 4n + 3.
HENCE PROVED.
Answer:
7,11,15,19,...
Step-by-step explanation:
Question:
Find the sequence whose nth term is 3+ 4n
Given:
Sequence whose nth term is 3+4n
Solution:
Substitute the n value as 1, 2, 3, 4 respectively to get the sequence
Step 1:
When n=1,
3+4n = 3+4(1) = 7
Step 2:
When n = 2,
3+4(2)
3+8
11
Step 3:
When n = 3,
3+4(3)
3+12
15
Step 4:
When n = 4,
3+4(4)
3+16
19
So, the sequence is:
7,11,15,19,...