Answered

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Fill in the missing number:

[tex]\[
\begin{array}{l|llll}
1 & -3 & \_ & -10 & 24
\end{array}
\][/tex]

a = \_\_\_

Sagot :

GinnyAnswer
To solve for the missing number and understand the pattern in the given sequence [tex]\(1, -3, -10, 24\)[/tex], we need to examine the differences between consecutive terms.

1. Calculate the first difference (difference between the first and second term):
[tex]\[ a = -3 - 1 = -4 \][/tex]

2. Calculate the second difference (difference between the second and third term):
[tex]\[ b = -10 - (-3) = -10 + 3 = -7 \][/tex]

3. Calculate the third difference (difference between the third and fourth term):
[tex]\[ c = 24 - (-10) = 24 + 10 = 34 \][/tex]

Thus, the pattern of the differences between the consecutive terms in the series [tex]\(1, -3, -10, 24\)[/tex] can be summarized as follows:
[tex]\[ a = -4, \quad b = -7, \quad c = 34 \][/tex]
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