Question

Find the 18th term of the A.P.√2,3√2,5√2,............

Answer 1

$\huge\mathbb\red{ANSWER!!!!}$

Given -

• a = √2

• d = a² - a¹

• d = 3√2 - √2

• d = 2√2

Now, According to question -

• an = a +( n - 1)d

• a18 = √2 + ( 18 - 1) 2√2

• a18 = √2 + 17 × 2√2

• a18 = √2 + 34√2

• a18 = 35√2