Question

Question In Attachment.


Simple Question.


Solve it.​

Answer 1

Given sequence is 7, 13, 19, 25

Here,

First term ( a ) = 7

Common difference = A2 - A1

= 13- 7 = 6

Now

a19 = a+(n-1)d

= 7 + (19-1)6

= 7+ 18(6)

= 115 ( Answer)

Answer 2

$\large\red\bigstar\underline{\text{Concept}}$

‣  It is a simple A.P (Arithmetic Progression) question that deals asking the 19th term of the given sequence.

$\large\red\bigstar\underline{\text{Solution}}$

$\large{\text{Applying the formula:-}}$

$\large{\mathtt{•\:aₙ=a₁+(n-1)d}}$

where,

• $\large{\text{aₙ}}$ is the nth term of the sequence

• $\large{\text{a₁}}$ is the first term of the sequence.

• $\large{\text{d}}$ is the common difference.

$\red\bigstar{\text{Given\: sequence}}$

‣  7,13,19,25...

⇒ common difference (d) = (13-7) = (19-13)... = 6

⇒ n = 19

⇒ first term = 7

$\small\underline{\text{putting\:all\:the\:values\:we\:get:-}}$

⇒ $\large{\text{aₙ}}$ = 7+(19-1)6

⇒ $\large{\text{aₙ}}$ = 7+108

∴$\large{\text{aₙ = 115}}$

$\large\green\bigstar\underline{\text{Answer}}$

∴ The nth term of the above sequence is 115.