Question

What’s the 5th term is 2,14,98

Answer 1

$\bold{\huge{\orange{\underline{ Solution }}}}$

Correct Question :-

What is the 5th term of an AP 2 , 14 ....98 .

Given :-

We have AP,

• $\sf{ 2 , 14 ,.... 98 }$
• AP is the arithmetic progression or a sequence of numbers in which succeeding number is differ from preceeding number by a common value.

Solution :-

We have an AP :- 2 , 14 .....98

Therefore,

• $\sf{a1\: or \:1st\: term = 2 }$
• $\sf{a2 \:or \:2nd\: term = 14 }$
• $\sf{an \:or\: last\: term = 98}$

Here,

Common difference of an AP

$\sf{ a2 - a1 }$

$\sf{ = 14 - 2}$

$\sf{ = 12}$

Thus, The common difference is 12

Now,

We know that,

$\sf{an = a1 + ( n - 1 )d}$

$\sf{a5 = 2 + ( 5 - 1 )12}$

$\sf{a5 = 2 + 4 × 12}$

$\sf{a5 = 2 + 48}$

$\sf{\red{a5 = 50}}$

Hence, The 5th term of given AP is 50