Question

Is 200 any term of the sequence 3,7,11,15.....? step by step explain plz​

Answer 1

Answer:

Clearly, the given sequence is an AP with first term a=3 and common difference d=7−3=4.

Let nth term of the given AP is 200.

⇒a

n

=a+(n−1)d=200

⇒3+(n−1)×4=200

⇒4n−1=200⇒4n=201

⇒n=

4

201

Here n is not an positive integer.

Therefore, 200 is not a given term of the given AP.

Answer 2

Given :-

• Sequence = 3,7,11,15
• Common difference (d) = 15 - 11 = 4
• First term (a) = 3

To find :-

• 200 consists which term

Solution :-

As we know that

• an = a + (n - 1)d

→ 200 = 3 + (n - 1)4

→ 200 = 3 + 4n - 4

→ 200 = 4n - 1

→ 4n = 200 + 1

→ 4n = 201

→ n = 201/4

Hence,

• 200 is not consist any term. This is because "n" never in fraction.

Extra Information

• Sum of n terms
• Sn = n/2[2a + (n - 1)d]
• Sn = n/2(a + l) where "l" is last term