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3 years ago

The fourth term of an arithmetic

Mathematics

1 answer:

yulyashka [42]3 years ago

5 0

Answer:

Step-by-step explanation:

Given AP where:

a₄ = 2a₂ - 1
a₆ = 7

To find

a₁ = ?

Since

a₄ = a₁ + 3d
a₂ = a₁ + d
a₆ = a₁ + 5d

Initial equations will change as:

a₁ + 3d = 2(a₁ + d) - 1 ⇒ a₁ + 3d = 2a₁ + 2d - 1 ⇒ a₁ = d + 1
a₁ + 5d = 7 ⇒ a₁ = 7 - 5d

Comparing the above:

d + 1 = 7 - 5d
6d = 6
d = 1

Then:

a₁ = d + 1 = 1 + 1 = 2
a₁ = 2

The first term is 2

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Answer:

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2 years ago

Whats 2.13×0.197 as a decimal

Tcecarenko [31]

Answer:

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Read 2 more answers

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m_a_m_a [10]

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3 years ago

a language arts test is worth 100 points there is a total of 26 questions . there are spelling word questions that ae worth 2 po

natka813 [3]

10 question of spelling words and 16 questions of vocabulary are present

Solution:

Let "x" be the number of spelling word questions

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There is a total of 26 questions. Therefore, we get

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Therefore, we frame a equation as:

number of spelling word questions x 2 + number of vocabulary word question x 5 = 100

$x \times 2 + y \times 5 = 100$

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Let us solve eqn 1 and eqn 2

From eqn 1,

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Substitute eqn 3 in eqn 2

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2 years ago

If (7^0)^x = 1, what are the possible values of x? Explain your answer.

kobusy [5.1K]

Hello,

What do you think of $7^0$ ?

It is 1

and what do you think of $1^x$ ?

it is 1

and the solution of 1 = 1 ?

There is an infinity of solutions as 1 = 1 is always true.

thanks

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3 years ago