1 cube+2cube +3 cube........ +10 cube =3025 then 4+32+108+......+4000=?
Answers
given;
1³+2³+3³+......10³=3025
4+32+108+...+4000=4(1+8+27+...+1000)
=4(1³+2³+3³+.....+10³)
=4×3025
=12100
4 + 32 + 108 +.............................+ 4000 = 12100 if 1³ + 2³ + 3³ +................................+ 10³ = 3025
Step-by-step explanation:
Given
1³ + 2³ + 3³ +................................+ 10³ = 3025
To find
4 + 32 + 108 +.............................+ 4000
= 4 * 1 + 4 * 8 + 4 * 27 +..........................+ 4 * 1000
Taking 4 common
= 4 (1 + 8 + 27 +....................................+ 1000)
= 4( 1³ + 2³ + 3³ +................................+ 10³)
Putting 1³ + 2³ + 3³ +................................+ 10³ = 3025
= 4( 3025)
= 12100
4 + 32 + 108 +.............................+ 4000 = 12100
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