Answer:
PROBLEM:
Write the first 12 odd numbers in correct sequence and find the sum.
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ANSWER:
• The first 12 odd numbers in correct sequence is given below.
\large \boxed{ \rm 1, \: 3, \: 5, \: 7, \: 9, \: 11, \: 13, \: 15, \: 17, \: 19, \: 21, \: 23}1,3,5,7,9,11,13,15,17,19,21,23
• The sequence is an arithmetic one with a common difference of two.
\begin{gathered} \rm 7 - 5 = 2 \\ \rm 5 - 3 = 2\end{gathered}7−5=25−3=2
• Let's find the sum of the arithmetic sequence given the first term which is 1, last term which is 23, the common difference of two and the number of terms, 12.
\begin{gathered} \rm S_n=\frac{n}{2}(a_1+a_n) \\ \end{gathered}Sn=2n(a1+an)
\begin{gathered} \rm S_{12}=\frac{12}{2}(1+23) \\ \end{gathered}S12=212(1+23)
\rm S_{12}=6(24)S12=6(24)
\large \boxed{ \rm S_{12}=144}S12=144
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Answers & Comments
Answer:
PROBLEM:
Write the first 12 odd numbers in correct sequence and find the sum.
\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}
ANSWER:
• The first 12 odd numbers in correct sequence is given below.
\large \boxed{ \rm 1, \: 3, \: 5, \: 7, \: 9, \: 11, \: 13, \: 15, \: 17, \: 19, \: 21, \: 23}1,3,5,7,9,11,13,15,17,19,21,23
• The sequence is an arithmetic one with a common difference of two.
\begin{gathered} \rm 7 - 5 = 2 \\ \rm 5 - 3 = 2\end{gathered}7−5=25−3=2
• Let's find the sum of the arithmetic sequence given the first term which is 1, last term which is 23, the common difference of two and the number of terms, 12.
\begin{gathered} \rm S_n=\frac{n}{2}(a_1+a_n) \\ \end{gathered}Sn=2n(a1+an)
\begin{gathered} \rm S_{12}=\frac{12}{2}(1+23) \\ \end{gathered}S12=212(1+23)
\rm S_{12}=6(24)S12=6(24)
\large \boxed{ \rm S_{12}=144}S12=144
\blue {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}
Answer:
kailangan mo po manood sa yt