22*23*24*25 210=2 find n?

Here we have to use the property ab×ac = a(b+c)In this case , 22×23×24×25 210 =2(2+3+4 + 10) This is an AP and we have to find the sum Sum = n2(2a + (n-1)d) Here n = 9 You can find this by simple counting a =2 and d =1 Putting the values , we getsum = 92(2×1 + (9-1)×1) = 54 So 2(2+3+4 + 10) = 254 Hope this would have cleared your doubt

2²2³2⁴*2⁵................2¹⁰=2

find n?

H e r e w e h a v e t o u s e t h e p r o p e r t y a^{b} \times a^{c} = a^{(b + c)} I n t h i s c a s e, 2^{2} \times 2^{3} \times 2^{4} \times 2^{5} . . . . . . . . . . . 2^{10} = 2^{(2 + 3 + 4 + . . . . . . . . . . 10)} T h i s i s a n A P a n d w e h a v e t o f i n d t h e s u m S u m = \frac{n}{2} (2 a + (n - 1) d) H e r e n = 9 . Y o u c a n f i n d t h i s b y s i m p l e c o u n t i n g a = 2 a n d d = 1 P u t t i n g t h e v a l u e s, w e g e t s u m = \frac{9}{2} (2 \times 1 + (9 - 1) \times 1) = 54 . S o 2^{(2 + 3 + 4 + . . . . . . . . . . 10)} = 2^{54} . H o p e t h i s w o u l d h a v e c l e a r e d y o u r d o u b t .

View Full Answer

22*23*24*25................210=2 find n?

2²2³2⁴*2⁵................2¹⁰=2

find n?