The fi rst and the last term of an A.P. are 4 and 304 respectively and sum of n terms of the A.P. is 15554.
Find the number of terms and common diff erence.
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Answer:
number of terms(n)=101 and common difference (d)=3
Step-by-step explanation:
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★Given:-
- First term = 4
- Last term = 304
- Sum of n terms of the A.P. = 15,554.
★To find:-
Number of terms, common difference.
★Solution:-
To find the sum of n terms, we use the formula,
- a is first term
- l is last term
- is sum of the terms.
- n is the number of terms.
Using this formula here,
To find the last term of an A.P. we use the formula
Using this formula here,
Hence, the common difference and number of terms are 3 and 101 respectively.
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