Question

write the first two terms of the AP when the first term is -1 and common difference is 1 by 2​

Answer 1

Answer:

$\large{\underline{\boxed{\sf - 1,-0.5}}}$

Step-by-step explanation:

Given that ;

• First term (a) = -1
• Common difference (d) = $\sf \dfrac{1}{2}$ = 0.5

To get the terms of A.P, follow the standard form of A.P, i.e., (a + d), (a + 2d) and (a + 3d).

• a₁ = -1
• a₂ = -1 + 0.5 = -0.5

Hence, the first two terms are - 1 and - 0.5.

$\rule{300}{2}$

Arithmetic Progression: A list of numbers in which every term is obtained by adding of subtracting a fixed number to the next term except the first term, is called Arithmetic Progression (AP).

The general form of A.P is -

a, (a + d), (a + 2d), (a + 3d)..... (a + nd).

Answer 2

Answer:

$\huge{\red{\boxed{\boxed{\green{\sf{A.P=-1,\frac{-1}{2},0.....}}}}}}$

Step-by-step explanation:

$\huge{\red{\boxed{\boxed{\green{\underline{\red{\sf{SOLUTION-}}}}}}}}$

$a=-1\\common\:difference=\frac{1}{2}$

To find:

○a2=?

○a3=?

$a = - 1 \\ d = \frac{1}{2} \\ \\ a2 = a + d \\ a2 = - 1 + \frac{1}{2} \\ a2 = \frac{ - 2 + 1}{2} \\ a2 = \frac{ - 1}{2} \\ \\ a3 = a + 2d \\ a3 = - 1 + 2 \times \frac{1}{2} \\ a3 = - 1 + 2 \times \frac{1}{2} \\ a3 = - 1 + 1 \\ a3 = 0$

$\huge{\red{\boxed{\boxed{\green{\sf{A.P=-1,\frac{-1}{2},0.....}}}}}}$

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