find the two consecutive terms in the expansion
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1
Answer:
ANSWER
T
r+1
=
74
C
r
3
74−r
(2x)
r
andthenT
r+2
=
74
C
r+1
3
73−r
(2x)
r+1
asco−efficientsareequal
74
C
r
3
73−r
2
r
=
74
C
r+1
3
73−r
2
r+1
(
74−r
74!
!r!)×=(
(73−r)!(r+1)!
74!
)×2
3(73−r)!(r+1)!=2(74−r)!r!
=3(73−r)!(r+1)!=2(74−r)!(73−r)!r!
=3(r+1)=2(74−r)
=3r+3=148−2r
∴5r=148−3
r=(
5
145
)=29
Hencetermsare(29+1)
th
and(29+2)
nd
or30
th
and31
th
term
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Answer:
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