Tính nhanh các tổng sau: a, 3 + 6 + 9 +... + 147 + 150. b, 11 + 13 + 15 +... + 1999. c) 1 + 4 + 9 + 16 + …. + 169

Phương pháp giải

Áp dụng công thức: Số số hạng = (số cuối - số đầu) : khoảng cách + 1 Tổng của dãy số cách đều = (số cuối + số đầu) x số số hạng : 2

Lời giải của GV ufaindo.xyz

a) Số số hạng của dãy số là (150 – 3) : 3 + 1 = 50 (số) Tổng của dãy số là (150 + 3) x 50 : 2 = 3825 b) Số số hạng của dãy số là (1999 – 11) : 2 + 1 = 995 (số) Tổng của dãy số là (1999 + 11) x 995 : 2 = 999975 c) Số số hạng của dãy số là (169 – 1) : 3 + 1 = 57 (số) Tổng của dãy số là (169 + 1) x 57 : 2 = 4845

Báo lỗi - Góp ý

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