Question

question question question question​

Answer 1

Answer:

$1 + 3 + 5 + 7 + .... + 23 = 144.$

Step-by-step explanation:

$1 + 3 + 5 + 7 + .... + 23 \\ \\ \\ \\ a = 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: d = 2 \\ \\ \\ 23 = 1 + (n - 1)d = 23 \\ \\ (n - 1)2 = 22 \\ \\ n - 1 = 11 \\ \\ n = 12 \\ \\ \\ 1 + 3 + 5 + 7 + .... + 23 = \frac{12}{2} (1 + 23) \\ \\ = 6 \times 24 \\ \\ = 144$

Answer 2

Answer:

1 + 3 + 5 + 7 + .... + 23 = 144.1+3+5+7+....+23=144.

\begin{gathered}1 + 3 + 5 + 7 + .... + 23 \\ \\ \\ \\ a = 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: d = 2 \\ \\ \\ 23 = 1 + (n - 1)d = 23 \\ \\ (n - 1)2 = 22 \\ \\ n - 1 = 11 \\ \\ n = 12 \\ \\ \\ 1 + 3 + 5 + 7 + .... + 23 = \frac{12}{2} (1 + 23) \\ \\ = 6 \times 24 \\ \\ = 144\end{gathered}

1+3+5+7+....+23

a=1d=2

23=1+(n−1)d=23

(n−1)2=22

n−1=11

n=12

1+3+5+7+....+23=

2

12

(1+23)

=6×24

=144