Answer :
We begin by adding the two decimal numbers:
1. Write the numbers with the decimal points aligned:
[tex]$$
\begin{array}{r}
83.6 \\
+\;15.3 \\
\hline
\end{array}
$$[/tex]
2. Adding the digits in the tenths place:
[tex]$$
0.6 + 0.3 = 0.9
$$[/tex]
3. Adding the whole number parts:
[tex]$$
83 + 15 = 98
$$[/tex]
4. Combining both parts:
[tex]$$
98 + 0.9 = 98.9
$$[/tex]
Next, we analyze the pattern in the sequence "A1, B2, C3, D4, E5, \ldots" where:
- The letter increases by one in alphabetical order (A to B to C to D to E).
- The number increases by 1 each time (1 to 2 to 3 to 4 to 5).
After E (which is the fifth letter) the next letter is F (the sixth letter) and the next number is [tex]$5 + 1 = 6$[/tex]. Therefore, the next term in the pattern is:
[tex]$$
\text{F6}
$$[/tex]
In summary:
- The sum of the numbers is: [tex]$$83.6 + 15.3 = 98.9.$$[/tex]
- The next term in the pattern is: [tex]$$\text{F6}.$$[/tex]
1. Write the numbers with the decimal points aligned:
[tex]$$
\begin{array}{r}
83.6 \\
+\;15.3 \\
\hline
\end{array}
$$[/tex]
2. Adding the digits in the tenths place:
[tex]$$
0.6 + 0.3 = 0.9
$$[/tex]
3. Adding the whole number parts:
[tex]$$
83 + 15 = 98
$$[/tex]
4. Combining both parts:
[tex]$$
98 + 0.9 = 98.9
$$[/tex]
Next, we analyze the pattern in the sequence "A1, B2, C3, D4, E5, \ldots" where:
- The letter increases by one in alphabetical order (A to B to C to D to E).
- The number increases by 1 each time (1 to 2 to 3 to 4 to 5).
After E (which is the fifth letter) the next letter is F (the sixth letter) and the next number is [tex]$5 + 1 = 6$[/tex]. Therefore, the next term in the pattern is:
[tex]$$
\text{F6}
$$[/tex]
In summary:
- The sum of the numbers is: [tex]$$83.6 + 15.3 = 98.9.$$[/tex]
- The next term in the pattern is: [tex]$$\text{F6}.$$[/tex]
