Question

29. Find the sum of : 34 + 32 + 30 + ... + 10​

Answer 1

Answer:

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Answer 2

Answer:

286

Step-by-step explanation:

a1 = 34, a2= 32

d=a2-a1=32-34=-2

l (last term )= 10

an=a+(n-1)d

10=34+(n-1)(-2)

10=34-2n+2

10=36-2n

10-36=-2n

-26=-2n

26=2n

2n=26

n=26/2

n=13

Required Sum=>

Sn=n/2(a+l)

S13=13/2(34+10)

$S13= \frac{13}{2} \times 44 \\ \: \: \: \: \: \: \: \: \: = 13 \times 22 \\ \: \: \: \: \: \: \: \: \: = 286$