Answer:
Height of the parallelogram = 37.5 cm
Step-by-step explanation:
As given,
Base of a parallelogram = 75 cm
Height of a parallelogram = 25 cm
As,
we know that
Area = Base × Height
= 75 × 25
= 1875 cm²
As the parallelogram is same
So, Area = Base × Height
⇒1875 = 50 × Height
⇒ Height = = 37.5 cm
So, we get
Height of the parallelogram = 37.5 cm
Answer:
The first term of the sequence is:
Step-by-step explanation:
Given the sequence
aₙ = (-1)ⁿ · 3n²
substituting n = 1 to determine the first term
a₁ = (-1)¹ · 3(1)²
a₁ = (-1)¹ · 3(1)²
Applying the exponent rule:
a₁ = -1 · 3(1)
a₁ = -1 · 3
a₁ = -3
substituting n = 2 to determine the 2nd term
a₂ = (-1)² · 3(2)²
a₂ = 1 · 3(4)
a₂ = 12
substituting n = 3 to determine the 3rd term
a₃ = (-1)³ · 3(3)²
a₃ = -1 · 3(9)
a₃ = -1 · 27
a₃ = -27
substituting n = 4 to determine the 4th term
a₄ = (-1)⁴ · 3(4)²
a₄ = 1 · 3(16)
a₄ = 1 · 48
a₄ = 48
Therefore, the first term of the sequence is: