Write an explicit formula for An, the nth term of the sequence 15, 8, 1, ....
2 answers:
Answer:
= 22 - 7n
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
8 - 15 = 1 - 8 = - 7
This indicates the sequence is arithmetic with explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 15 and d = - 7 , then
= 15 - 7(n - 1) = 15 - 7n + 7 = 22 - 7n ← explicit formula
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Answer:
a). Area of the parallelogram = 8 cm²
b). Area of both the triangles = 4 cm²
Step-by-step explanation:
a). Area of the given parallelogram ABCD = Base × Height
= DC × (Vertical distance between
AB and DC)
= 9 ×
= 8 ft²
b). If we decompose this parallelogram into two triangles ΔABC and ADC by a diagonal AC,
Area of both the triangles will be equal.
(Since, diagonal of a parallelogram divides the parallelogram into two equal triangles)
Therefore, area of ΔABC = Area of ΔADC = 4 ft²