Question

If the first and third terms of an AP. are (a - b)3and (a + b )3 find the second term.
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Answer 1

$\huge\underline\mathfrak\color{plum} Given$

• The first term of AP= $(a - {b})^{3}$
• The third term of AP= $(a + {b})^{3}$

$\huge\underline\mathfrak\color{plum} ToFind$

• The second term of AP.

$\huge\underline\mathfrak\color{plum} Solution$

We know,

$\sf\pink{second \: term = \frac{first \: term + third \: term}{2} }$

$\sf{\implies second \: term = \frac{(a - {b})^{3} + (a + {b})^{3} }{2} }$

$\sf{\implies second \: term = \frac{ {a}^{3} - {b}^{3} - 3 {a}^{2}b + 3a {b}^{2} + {a}^{3} - {b}^{3} - 3 {a}^{2} b + 3a {b}^{2} }{2} }$

$\sf{\implies second \: term = {a}^{3} + 3a {b}^{2} }$

$\huge\underline\mathfrak\color{plum} ThankYou$

Answer 2

Step-by-step explanation:

Hope it helps you and please make my answer as brainlist answer