Find the sum of :2+4+6+8+_to 50 terms
3550
3770
3840
2550
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0
Answer:
2550
Step-by-step explanation:
Given series is AS( arithmetic series ).
For this series,
a = first term = 2
d = com. dif. = 4 - 2 = 2
Using properties,
sum of AS = (n/2) { 2a + (n-1)d }
Therefore, { n = number of terms, here n = 50} , sum:
= > (50/2) { 2(2) + ( 50-1 )2 }
= > 25{ 4 + (49)2 }
= > 25( 4 + 98 )
= > 25(102)
= > 2550
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