Question

Write first four terms of AP when the first term is -5 and the common difference is 0.5

Answer 1

Answer:

$\large{\underline{\boxed{\sf - 5,-4.5,-4,-3.5}}}$

Step-by-step explanation:

Given that ;

• First term (a) = - 5
• Common difference (d) = 0.5

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

Or simply add common difference to the first term, and then proceed with the resulting number.

Method I:

• a₁ = - 5
• a₂ = - 5 + 0.5 = - 4.5
• a₃ = - 5 + (2 *0.5) = - 5 + 1 = -4
• a₄ = - 5 + (3 *0.5) = - 5 + 1.5 = -3.5

Hence, the first four terms of A.P are - 5, -4.5, -4, and -3.5

$\rule{300}{2}$

Method II:

• a₁ = - 5
• a₂ = - 5 + 0.5 = - 4.5
• a₃ = - 4.5 + 0.5 = - 4
• a₄ = - 4 + 0.5 = - 3.5

∴ The four terms of A.P are - 5, - 4.5, - 4, - 3.5.

Answer 2

Answer:

$\huge{\red{\boxed{\green{\sf{A.P=-5,-4.5,-4,-3.5}}}}}$

Step-by-step explanation:

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

□a=-5

□C.d=0.5

To find:

○A.P=?

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$a2 = a + d \\ \to - 5 + 0.5 \\ \to \: - 4.5 \\ \\ a3 = a + 2d \\ \to \: - 5 + 2 \times 0.5 \\ \to \: - 5 + 1 \\ \to \: - 4 \\ \\ a4 = a + 3d \\ \to \: - 5 + 3 \times 0.5 \\ \to \: - 5 + 1.5 \\ \to \: - 3.5 \\ \\ {\green{ \boxed{ \therefore{a.p = - 5, - 4.5 , - 4,- 3.5......}}}}$

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