HOTS Zone : Notasi Sigma

Berikut ini adalah kumpulan soal mengenai notasi sigma tipe HOTS. Jika ingin bertanya soal, silahkan gabung ke grup Facebook atau Telegram.

Tipe:

Standar SBMPTN HOTS

No. 1

Buktikan {\displaystyle\sum_{j=1}^n\left(a_j-a_{j-1}\right)=a_n-a_0}

Grup Telegram

\(\eqalign{ \displaystyle\sum_{j=1}^n\left(a_j-a_{j-1}\right)&=\displaystyle\sum_{j=1}^n\left(a_j\right)-\displaystyle\sum_{j=1}^n\left(a_{j-1}\right)\\ &=\displaystyle\sum_{j=1}^{n-1}\left(a_j\right)+a_n-\displaystyle\sum_{j=1-1}^{n-1}\left(a_{j+1-1}\right)\\ &=\displaystyle\sum_{j=1}^{n-1}\left(a_j\right)+a_n-\displaystyle\sum_{j=0}^{n-1}\left(a_j\right)\\ &=\displaystyle\sum_{j=1}^{n-1}\left(a_j\right)+a_n-\left(a_0+\displaystyle\sum_{j=1}^{n-1}\left(a_j\right)\right)\\ &=\displaystyle\sum_{j=1}^{n-1}\left(a_j\right)+a_n-a_0-\displaystyle\sum_{j=1}^{n-1}\left(a_j\right)\\ &=a_n-a_0 }\)

TERBUKTI.