If 13+23+...+93=2025, then (0.11)3+(0.22)3+...(0.99)3 will be _________.
A
0.3695
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
0.2695
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3.695
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2.695
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is D2.695 Given: 13+23+...+93=2025 (0.11)3+(0.22)3+...+(0.99)3=(0.11×1)3+(0.11×2)3+......+(0.11×9)3=(0.11)3[13+23+...93]⇒0.001331×2025=2.695275≈2.695