Wᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,
↝ nᵗʰ term of an arithmetic sequence is,
Wʜᴇʀᴇ,
aₙ is the nᵗʰ term.
a is the first term of the sequence.
n is the no. of terms.
d is the common difference.
Tʜᴜs,
Given that,
Also,
On Subtracting equation (2) from equation (1), we get
On substituting d = - 2, in equation (1), we get
Hence,
First term of an AP, a = 8
Common Difference of an AP, d = - 2
↝ Sum of n terms of an arithmetic sequence is,
nth term of an AP is ,
where,
a=first term
d=common difference
Therefore, the AP is,
8,6,4,2,0,...
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Answers & Comments
Wᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,
↝ nᵗʰ term of an arithmetic sequence is,
Wʜᴇʀᴇ,
aₙ is the nᵗʰ term.
a is the first term of the sequence.
n is the no. of terms.
d is the common difference.
Tʜᴜs,
Given that,
Also,
On Subtracting equation (2) from equation (1), we get
On substituting d = - 2, in equation (1), we get
Hence,
First term of an AP, a = 8
Common Difference of an AP, d = - 2
Additional Information :-
↝ Sum of n terms of an arithmetic sequence is,
Wʜᴇʀᴇ,
________________________________________
nth term of an AP is ,
where,
a=first term
d=common difference
So,
Substract equation (1) from (2),
From equation (1),
So,
Therefore, the AP is,
8,6,4,2,0,...
________________________________________