Question
Find the sum of all the non-negative terms
of the following sequence: 100, 97, 94, ....
Answers
Step-by-step explanation:
All are in A.P
we know this as
common difference is same !
Given:
a = t1 = 100
t2 = 97
d = 97-100 = -3
tn = 1
it is zero because question want sum of non - negative terms
so it will not go beyond zero
tn = a +(n-1)d
1= 100 + -3n +3
-102 = -3n
n = 34
Sn = n/2 [ 2a +(n-1) d]
= 34/2 [200 + 33 × (-3) ]
= 34/2 [ 200-99]
= 34 × 51 ..........(50.5~ 51)
= 1734
Hope it helps uh!
Answer:
1734
Step-by-step explanation:
All are in A.P
we know this as
common difference is same !
Given:
a = t1 = 100
t2 = 97
d = 97-100 = -3
tn = 1
it is zero because question want sum of non - negative terms
so it will not go beyond zero
tn = a +(n-1)d
1= 100 + -3n +3
-102 = -3n
n = 34
Sn = n/2 [ 2a +(n-1) d]
= 34/2 [200 + 33 × (-3) ]
= 34/2 [ 200-99]
= 34 × 51 ..........(50.5~ 51)
= 1734
Hope it helps u