(D) Given,the first term $a = 2$ and the common difference $d = 3$.The formula for the sum of the first $n$ terms of an $A.P.$ is $S_n = \frac{n}{2} [

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(D) Given,the first term $a = 2$ and the common difference $d = 3$.The formula for the sum of the first $n$ terms of an $A.P.$ is $S_n = \frac{n}{2} [2a + (n - 1)d]$.Substituting $n = 30$,$a = 2$,and $d = 3$ into the formula:$S_{30} = \frac{30}{2} [2(2) + (30 - 1)3]$$S_{30} = 15 [4 + (29 \times 3)]$$S_{30} = 15 [4 + 87]$$S_{30} = 15 \times 91$$S_{30} = 1365$.

Class 10 Mathematics Arithmetic Progressions Mix Examples - Arithmetic Progressions

Medium

For a given $A.P.$,$a=2$ and $d=3$. Then,$S_{30} = \dots$

A
$300$
B
$600$
C
$900$
D
$1365$

Explore More

Browse All

Question Bank

All Subjects

Class 10 Questions

Class 10

Mathematics Questions

Chapter

Arithmetic Progressions

Subtopic

Mix Examples - Arithmetic Progressions

The eighth term of an $AP$ is half its second term and the eleventh term exceeds one third of its fourth term by $1$. Find the $15^{\text{th}}$ term.

Difficult

View Solution

Find the sum of the first seven numbers which are multiples of $2$ as well as of $9$.

Medium

View Solution

Find the sum of two-digit natural numbers divisible by $6$.

Medium

View Solution

The $n^{th}$ term of an $A.P.$ is given by $T_n = 3n - 1$. For this $A.P.$,the common difference $d = \ldots$

Easy

View Solution

For the finite $A.P.$ $12, 21, 30, \ldots, 363,$ find the $12^{th}$ term from the end.

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

For a given $A.P.$,$a=2$ and $d=3$. Then,$S_{30} = \dots$

Similar Questions

The eighth term of an $AP$ is half its second term and the eleventh term exceeds one third of its fourth term by $1$. Find the $15^{\text{th}}$ term.

Find the sum of the first seven numbers which are multiples of $2$ as well as of $9$.

Find the sum of two-digit natural numbers divisible by $6$.

The $n^{th}$ term of an $A.P.$ is given by $T_n = 3n - 1$. For this $A.P.$,the common difference $d = \ldots$

For the finite $A.P.$ $12, 21, 30, \ldots, 363,$ find the $12^{th}$ term from the end.

Vedclass Test Series

Exam Paper Generator

Online Exam Module