3 years ago

Is the following relation a function? Yes or No

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

7 0

Where is the relation??

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8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm

Ilya [14]

Answer:

a₁ = 38

Step-by-step explanation:

Given AP, where:

8a₈ = 12a₁₂
d = -2,
a₁ = ?

=============

<h3>Solution</h3>

aₙ = a₁ + (n-1)d

a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22

8a₈ = 12a₁₂

8(a₁ - 14) = 12(a₁ - 22)
2(a₁ - 14) = 3(a₁ - 22)
2a₁ - 28 = 3a₁ - 66
3a₁ - 2a₁ = -28 + 66
a₁ = 38

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3 years ago