What is its 100th term of the sequence 5, 12, 19, 26

1.	What is its 100th term of the sequence 5, 12, 19, 26
Answer» GIVEN: A.P. = 5, 12, 19, 26 TO FIND: What is the 100th term of an A.P. ? SOLUTION: We have given the A.P. = 5, 12, 19, 26 a = 5 Common difference = d2 – d1 ➾ 12 – 5 = 7 d = 7 No. of terms = n = 100 We know that the formula for finding the nth term of an A.P. is:- $\large{\boxed{\bf{\star \: a_n = a + (n-1) d \: \star}}}$ According to question:- On putting the given values in the formula, we GET $\rm{\dashrightarrow a_n = 5 + (100-1)7 }$ $\rm{\dashrightarrow a_n = 5 + 99 \times 7}$ $\rm{\dashrightarrow a_n = 5 + 693 }$ $\bf{\dashrightarrow a_n = 698 }$ ❝ Hence, the nth term of an A.P. is 698 ❞ ______________________ ✯ Extra Information ✯ ⇛Sum of n terms = SN = n/2 [2a + (n–1)d] ⇛ Sum of n terms = Sn = n/2 [a + an]

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