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A sequence is defined by the rule

[tex]\[ x_n = 7n + 13 \][/tex]

Work out the value of [tex]\[ x_{10} \][/tex].

(Hint: [tex]\[ x_{10} \][/tex] is the [tex]\[ 10^{\text{th}} \][/tex] term in the sequence.)

Sagot :

GinnyAnswer
To find the value of [tex]\( x_{10} \)[/tex] in the sequence defined by the formula [tex]\( x_n = 7n + 13 \)[/tex], follow these steps:

1. Identify the term of the sequence that you need to compute. In this case, it is [tex]\( x_{10} \)[/tex], which signifies that [tex]\( n = 10 \)[/tex].

2. Substitute [tex]\( n = 10 \)[/tex] into the given formula [tex]\( x_n = 7n + 13 \)[/tex].

So, we have:
[tex]\[ x_{10} = 7(10) + 13 \][/tex]

3. Simplify the expression by performing the multiplication first:
[tex]\[ 7 \times 10 = 70 \][/tex]

4. Now add the constant term 13 to the result of the multiplication:
[tex]\[ 70 + 13 = 83 \][/tex]

Thus, the value of [tex]\( x_{10} \)[/tex] is [tex]\( 83 \)[/tex].
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