plss answer question-11!!!!
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Given that,
Sn = 4n − n^2
First term, a = S1 = 4(1) − (1)^2 = 4 − 1 = 3
Sum of first two terms = S2
= 4(2) − (2)^2 = 8 − 4 = 4
Second term, a2 = S2 − S1 = 4 − 3 = 1
d = a2 − a = 1 − 3 = −2
an = a + (n − 1)d
= 3 + (n − 1) (−2)
= 3 − 2n + 2
= 5 − 2n
a10 = 5 − 2(10) = 5 − 20 = −15
Sn = 4n − n^2
First term, a = S1 = 4(1) − (1)^2 = 4 − 1 = 3
Sum of first two terms = S2
= 4(2) − (2)^2 = 8 − 4 = 4
Second term, a2 = S2 − S1 = 4 − 3 = 1
d = a2 − a = 1 − 3 = −2
an = a + (n − 1)d
= 3 + (n − 1) (−2)
= 3 − 2n + 2
= 5 − 2n
a10 = 5 − 2(10) = 5 − 20 = −15
leeza1234:
hello
Answered by
13
hey mate!!
given:
Sn = 4n - n²
so 1) S1 = 4(1) - 1² = 3 ans.
we know that : an = Sn - S(n-1)
an = 4n-n² -{4(n-1) -(n-1)²}
= 4n - n² - 4n + 4 + n²+1-2n
=> an = 5 - 2n
=> a1 = 5 - 2×1 = 3
=> a2 = 5-2(2) = 1
sum of first two terms = a1+a2= 3+1=4 ans
second term is a2= 1
third term(a3) = 5-2(3) = -1
tenth term(a10)= 5-2(10)= -15
so nth term (an) = 5 -2n
______________________________
thanks♠
given:
Sn = 4n - n²
so 1) S1 = 4(1) - 1² = 3 ans.
we know that : an = Sn - S(n-1)
an = 4n-n² -{4(n-1) -(n-1)²}
= 4n - n² - 4n + 4 + n²+1-2n
=> an = 5 - 2n
=> a1 = 5 - 2×1 = 3
=> a2 = 5-2(2) = 1
sum of first two terms = a1+a2= 3+1=4 ans
second term is a2= 1
third term(a3) = 5-2(3) = -1
tenth term(a10)= 5-2(10)= -15
so nth term (an) = 5 -2n
______________________________
thanks♠
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