Question

3+7+11+15+...+43 cati termeni are suma , calculati suma.spuneti-mi va rog cum se afla termenii

Answer 1

$\displaystyle 3+7+11+15+...+43 \\ \\ 43=3+(n-1) \times 4 \\ \\ 43=3+4n-4 \\ \\ 4n=43-3+4 \\ \\ 4n=44 \\ \\ n= \frac{44}{4} \\ \\ n=11~termeni$

$\displaystyle S_1_1= \frac{6+10 \times 4}{2} \times 11 \\ \\ S_1_1= \frac{6+40}{2} \times 11 \\ \\ S_1_1= \frac{46}{2} \times 11 \\ \\ S_1_1=23 \times 11 \\ \\ S_1_1=253$