define the 17th term of an AP, -1, -5 , -9
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Answer:
-65.
Step-by-step explanation:
GIVEN IN IMAGE.
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The 17th term of an A.P. -1, -5 , -9 is -65
Step-by-step explanation:
GIVEN
a = t1 = -1
t2 = -5
t3 = - 9
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TO FIND
17th term
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We know that,
Common Difference ( D ) = t2 - t1
Common Difference ( D ) = -5 - -1
Common Difference ( D ) = -4
Common Difference ( D ) = -4
___________________________
We know that,
an = a1 + ( n - 1 ) × d
a17 = -1 + ( 17 - 1 ) × ( -4 )
a17 = -1 + 16 × ( -4 )
a17 = -1 + -64
a17 = -65
a17 = -65
The 17th term of an A.P. -1, -5 , -9 is -65
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