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kotegsom [21]
3 years ago
14

2. The 7th term of an A.P is 27 and the 12th term is 47, what is the sequence?

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0

Answer:

<h2>3 + 4(n - 1)</h2>

Step-by-step explanation:

let r be the common differenc of the sequence

Term 12 - Term 7 = (12 - 7)r

then

47 - 27 = 5r

then

20 = 5r

then

r = 4

term 7 = term 1 + (7 - 1)r

then

27 = term 1 + 6r = term 1 + 24

then

Term1 = 27 - 24 = 3

<em><u>therefore </u></em>

the standard explicit formula of the sequence is :

term 1 + (n - 1)r = 3 + 4(n - 1)

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How do I solve 2m + n = 2 and 3m - 2n = 3 using substitution?
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\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Solve 2m + n = 2 and 3m - 2n = 3 using substitution.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

We can use the substitution method to solve linear equations of this form. Let's solve for m & n.

\left. \begin{array}  { l  }  { 2 m + n = 2 } \\ { 3 m - 2 n = 3 } \end{array} \right.

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\large \underline{\underline{ \bf \: n=0 }}

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\large \underline{ \underline{\bf \: m=1 }}

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\huge \boxed{ \boxed{ \bf \: m=1, \: n=0 }}

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